c) R= {(x,y): Y is the area of triangle x 3 determine if the relation is function or not​

Answers

Answer 1

You have given a relation R = {(x,y): y is the area of triangle x 3}. This means that for each value of x, which represents the base of a triangle, y is the area of that triangle with height 3.

What is the function?

To find out if this relation is a function, we need to check if there are any repeated x-values with different y-values. If there are none, then it is a function.

One way to do this is to use the formula for the area of a triangle: A = (1/2)bh, where b is the base and h is the height. Using this formula, we can find the y-values for some x-values:

[tex]x | y| - 0 | 0 1 | (1/2) * 1 * 3 = 3/2 2 | (1/2) * 2 * 3 = 3 3 | (1/2) * 3 * 3 = 9/2 4 | (1/2) * 4 * 3 = 6[/tex]

Therefore, As you can see, there are no repeated x-values with different y-values, this relation R is a function.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ1


Related Questions

Select the correct answer. Solve for x. x2 - 2x - 24 = 0



A.
-4, -6
B.
-4, 6
C.
2, -6
D.
4, 6

Answers

Answer:

B. -4, 6

Step-by-step explanation:

B. -4, 6

x2-2x-24=0

1st you must factor
x2+4x-6x-24=0

next factor by grouping and find gcf
x(x+4)-6(x+4)=0

you now have your factors so set then to 0 and solve for x

x+4=0
-4 -4
x=-4

x-6=0
+6 +6
x=6

The points (-3,-1) and (r,1) lie on a line with slope 1/4. Find the missing coordinate r.

Answers

The missing coordinate r for the slope is equal to 5.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and orientation. The symbol m is often used to represent slope. The ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line is used to determine slope. The ratio can also be written as a quotient ("rise over run"), which produces the same number for every two different points on the same line. A declining line has a negative "rise". The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a depiction or a plan.

by the question.

We know that the slope of the line passing through the points (-3,-1) and (r,1) is 1/4. Therefore, we have:

[tex](1 - (-1))/(r - (-3)) = 1/4[/tex]

Simplifying the above equation, we get:

[tex]2/(r + 3) = 1/4[/tex]

Multiplying both sides by 4(r + 3), we get:

[tex]8 = r + 3[/tex]

Subtracting 3 from both sides, we get:

[tex]r=5[/tex]

To know more about slope:

https://brainly.com/question/3605446

#SPJ1

help me pls‍♀️‍♀️‍♀️. is the function linear, quadratic, or exponential ​

Answers

Answer: Quadratic (not 100% sure)

Solve the system of equations:
y = 2x – 5
y = x^2 – 5

A. (–1, –7) and (4, 3)
B. (–1, –4) and (3, 4)
C. (0, –5) and (2, –1)
D. (0, 5) and (2, 2)

Answers

Answer:

C. (0, –5) and (2, –1)

2 ^ (3 ^ 2) =? Please explain also

Answers

Answer: 512

Step-by-step explanation:

2^ (3^2)

2^ (9)

512

A machine at a company makes toy cars at a constant rate. The company received an order for toy cars that exceeded the number of toy cars that the company had in stock.

Answers

In order to make the additionaI 100 toy cars required to meet demand, the company wiII need to run the machine for 8 hours.

what is unitary method ?  

To answer mathematics issues invoIving proportionaI reIationships, utiIize the unitary method. It entaiIs determining the vaIue of a singIe unit or item and using that data to determine the vaIue of a specified number of units or items. When tackIing chaIIenges in business, finance, and science that require rates, ratios, and proportions, the unitary technique is very heIpfuI. The unitary technique, for instance, can be used to caIcuIate a singIe item's price given the price of aII the other products combined.

given

The formuIa beIow can be used to determine how Iong it wiII take to generate the requisite number of toy cars if we know the rate at which the machine produces them:

Time is caIcuIated as (Number of toy cars required - Number of toy cars in stock) / Production Rate.

For instance, if the machine can produce 10 toy cars per hour and the business needs to make an additionaI 100 to compIete the order, but they aIready have 20 toy cars on hand, the time needed to make the extra toy cars wiII be:

Time = (100-20) / 10 = 8 hours.

In order to make the additionaI 100 toy cars required to meet demand, the company wiII need to run the machine for 8 hours.

To know more about unitary method visit:

brainly.com/question/28276953

#SPJ1

Complete question:

1. A machine at a cοmpany makes toy cars at a constant rate. The company received an order for toy cars that exceeded the number of toy cars that the company had in stock.

Which three pieces of information are needed to determine the amount of time it will take the machine to make enough additional toy cars to fill the order?

Select the three pieces of information that are needed.

A. the cost to make each toy car

B. the rate that the machine makes toy cars

C. the number of toy cars requested in the order

D. the number of people needed to run the machine

E. the number of toy cars available when the order was received

I NEED ANSWERS ASAP….

Answers

Answer:

Step-by-step explanation:

It is set up

7x+5x+2y=20

7x+5x=12x

12x+2y=20

x=0

y=10

12(0)+2(10)=20

Ok so maybe this was not the same type of equation i thought it was it is not that easy!

Write an equation of the line that is parallel to y = 12
x + 3 and passes through the point (10, -5).

Answers

Answer:

y = 12x - 125

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 12x + 3 ← is in slope- intercept form

with slope m = 12

• Parallel lines have equal slopes , then

y = 12x + c ← is the partial equation

to fond c substitute (10, - 5 ) into the partial equation

- 5 = 12(10) + c = 120 + c ( subtract 120 from both sides )

- 125 = c

y = 12x - 125 ← equation of parallel line

ten drill bits are randomly selected from a process. the times to failure (i.e., loss of acceptable sharpness) for the bits are recorded as 37, 39, 42, 43, 49, 50, 54, 55, 59, and 63 hours. assuming the failure times have a weibull distribution, analyze the data using probability plotting. estimate the shape and scale parameters. plot the original data versus the cdf model corresponding to your parameter estimates. add confidence limits.

Answers

In probability plotting, a graph of the cumulative distribution function (CDF) is plotted against a transformed version of the data to determine if the data come from a particular distribution.

The distance between the two lines is equal to the product of the critical value of the t-distribution and the standard error estimate.

This can be used to analyze the times to failure (i.e., loss of acceptable sharpness) for a random selection of ten drill bits from a process that follows a Weibull distribution.

To estimate the shape and scale parameters

follow these steps:

Step 1: Rank the data from smallest to largest

Step 2: Calculate the failure probability of each data point using the formula: i/(n+1), where i is the rank of the data point and n is the number of data points.

Step 3: Transform the failure probabilities using the inverse Weibull distribution function: F^(-1)(p) = (−ln(1−p))^β for a given shape parameter β and scale parameter η.

Step 4: Plot the transformed data against the theoretical distribution, which is a straight line for the Weibull distribution.

Step 5: Find the best-fitting line by eye, or by using regression analysis.

The slope of the line is equal to the shape parameter β, and the intercept is equal to the logarithm of the scale parameter ln(η).

The Weibull distribution can be represented as:[tex]F(x) = 1 − e^(-(x/η)^β)[/tex], where β is the shape parameter and η is the scale parameter. The CDF model corresponding to your parameter estimates can be plotted by using the formula . This can be done by calculating the standard deviation of the residuals, and then calculating the upper and lower limits of the confidence interval using the t-distribution.

The confidence interval can be calculated as:β ± t(n−2,α/2) x SE(β)ln(η) ± t(n−2,α/2) x SE(ln(η))where SE(β) is the standard error estimate for the shape parameter, SE(ln(η)) is the standard error estimate for the logarithm of the scale parameter, and t(n−2,α/2) is the critical value of the t-distribution with n−2 degrees of freedom and a significance level of α/2.The confidence limits can be plotted as two parallel lines around the best-fitting line. The distance between the two lines is equal to the product of the critical value of the t-distribution and the standard error estimate.

for such more questions on probability

https://brainly.com/question/24756209

#SPJ11

Mei Mei wraps a gift box in the shape of a triangular pyramid. The figure below shows a net for the gift box.

Answers

Mei Mei utilized wrapping paper that was 337.212 square inches in size.

What is the triangular pyramid formula?

The formula V = 1/3AH, where H is the height of the pyramid or the distance from its base to its apex, may be used to calculate the volume of a triangular pyramid.

To find the amount of wrapping paper Mei Mei used

we need to find the surface area of the triangular pyramid.

The formula for an equilateral triangle's area is as follows:

[tex]A = (\sqrt{(3)/4}) \times s^2[/tex]

where s is a side of the triangle's length.

The base of the triangular base is 13 inches, so the sides of the triangles are also 13 inches.

The slant height of the pyramid is given as 11.26 inches.

Using the formula, we find that the area of each triangular face is:

[tex]A = (\sqrt{(3)/4)} \times s^2 = (\sqrt{(3)/4)} \times 13^2 = 84.303[/tex]

To find the total surface area of the pyramid, we add up the areas of all four triangular faces. There are four triangles, so:

total surface area =[tex]4 \times A = 4 \times 84.303 = 337.212[/tex]

To know more about inches visit:-

brainly.com/question/23699846

#SPJ1

Complete question -

Mei Mei wraps a gift box in the shape of a triangular pyramid. The figure below shows a net for the gift box.

Susan jogged for 1 1/2hours on Monday and 90 minutes on Tuesday. On which day did she jog longer?

Answers

a hour is 60 mintues and half a hour would be 60/2 Wich is equal to 30
60+30=90
Meaning Susan ran the same amount on both Monday and Tuesday

Find the value of the expression x+|x| if x=7, 10, 0, -3, -8. write the expression without the absolute value symbol for these values of x: x≤0

Answers

The expression's value is when x 0, and since |x| = -x when x 0, x + |x| simplifies to 0. In this case, x + |x| = x + (-x) = 0 for x 0.

What does the expression mean?

When the variables and constants in a mathematical expression are given values, the outcome of the computation it describes is the expression's value. The value of a function, given the value(s) assigned to its argument, is the sum that the function assumes for these input values (s).

For x =7,x+|x| =7+|7| =14

For x =10,x+|x|= 10+|10| =20

For x = 0,x+|x| =0+|0| =0

For x = -3, x + |x| = -3 + |-3| = 0

For x = -8, x + |x| = -8 + |-8| = 0

The expression's value is when x 0, and since |x| = -x when x 0, x + |x| simplifies to 0. In this case, x + |x| = x + (-x) = 0 for x 0.

To know more about expression's visit:-

https://brainly.com/question/15068305

#SPJ1

Y = absolute value of x+5 if x > -5
Answer: y = ?

Answers

The absolute value of Y = X-5, with condition x > -5 is Y>-9.

The function of x is given to be,

Y = X-5, here a condition is given that, x > -5.

Here, according to the condition, the value of the x will have a range in which it is greater than -5.

Practically thinking, the number starting from -4, -3, -2, -1, 0, 1, 2, ...... all are greater than -5. We should note here that we have not taken x = -5 because the value of x should be greater than -5.

Now, the absolute value of the function y will be, putting x = -4,

Y = -4-5

Y = -9. Hence, the absolute value will always be more than -9. So, Y > -9.

To know more about range and domain, visit,

https://brainly.com/question/2264373

#SPJ4

3.27 Underage drinking, Part II: We learned In Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds. (a) How many people in the sample would you expect to have consumed alcoholic beverages? (round to one decimal place) (b) Would you be surprised if the sample contained 45 or more people who have consumed alcoholic beverages? - No, it is just as likely as any other outcome - No, 45 or more accounts for six different events -- this wouldn't be surprising - Yes, 45 is more than two standard deviations above the expected value (mean) - Yes, 45 out of 50 is 90% (c) What is the probability that 45 or more people in this sample have consumed alcoholic beverages? Cound to forracina

Answers

The very low likelihood that there will be 45 or more people in the sample who have consumed alcoholic beverages.

a) The number of people in the sample expected to have consumed alcoholic beverages can be calculated as follows:First, we multiply the number of individuals in the sample by the proportion of people in that age group who drink alcohol.50 x 0.697 = 34.85Thus, we anticipate that about 34.85 people in the sample will have consumed alcoholic beverages.b) No, 45 or more accounts for six different events -- this wouldn't be surprising, you would not be surprised if the sample contained 45 or more people who have consumed alcoholic beverages. This is because it falls within the margin of error.c) To calculate the probability that 45 or more people in this sample have consumed alcoholic beverages, we will need to compute the z-score first.We use the following formula to calculate the z-score:$$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$$Where, x = 45μ = 0.697 x 50 = 34.85σ = √[(50 x 0.697 x 0.303)] = 3.77n = 50After plugging the values into the formula, we have:$$z=\frac{45-34.85}{\frac{3.77}{\sqrt{50}}}$$ = 3.89Since we are trying to determine the probability of having 45 or more people who have consumed alcoholic beverages, we will calculate the probability of having a z-score greater than or equal to 3.89.Instead of looking up the z-score in the z-table, we can use a calculator to determine the probability. From a standard normal distribution, the calculator provides the following output:P(Z ≥ 3.89) = 0.0000317Rounded to four decimal places, the probability is approximately 0.0000. Therefore, there is a very low likelihood that there will be 45 or more people in the sample who have consumed alcoholic beverages.

Learn more about Likelihood

brainly.com/question/16930699

#SPJ11

what is five more than x​

Answers

Answer:

Step-by-step explanation:

x+5

A hurries with a constant speed of 40km/h.How long will take to travel a distance of 80 kilometers

Answers

Answer:

2 hours

Step-by-step explanation:

80 ÷ 40 = 2

Check:

40 x 2 = 80

solve the following questions based on the information provided: i. six students a, b, c, d, e and f participated in a self-evaluation test of quants and data interpretation (d.i.). ii. the total marks of a in quants was just above c and in d.i. just above f. iii. b was just above c in d.i. but he scored less than d in quants. iv. f got more marks than d and e in d.i. but did not perform as well in quants as in d.i. as compared to d and e. v. no one is in between c and d in quant and c and a in d.i. 16.who got the highest marks in d.i.? a b c data inadequate 17.which of the following students has scored the least in d.i.? only d only e only d or e none of these 18.who was just below d in quants? b e c data inadequate 19.which of the given statements is not necessary to answer the questions? (ii) (iii) (iv) all are necessary

Answers

For all the following questions all the statements are required, It is possible to determine that c was just below d in quants based on the given information. Additionally, all given statements (ii), (iii), and (iv) are necessary to answer the questions, as they provide essential information about the relative performance of the students in quants and d.

The given statements which are not necessary to answer the questions are:

   To answer this question, we need to find out who got the highest marks in d.i. According to statement (iv), F got more marks than D and E in d.i. Therefore, we can conclude that F got the highest marks in d.i.    To answer this question, we need to find out who scored the least in d.i. However, the information provided does not tell us the score of any student in d.i., except that F got the highest marks. Therefore, we cannot determine which student scored the least in d.i.    To answer this question, we need to find out who was just below D in quants. According to statement (v), no one is in between C and D in quants, which means that D got the highest marks in quants among the students listed. According to statement (ii), A's marks in quants were just above C's. Therefore, E must have been just below D in quants.   To answer this question, we need to identify the statement that is not necessary to answer the questions. Statements (ii) and (iv) provide information about who got more marks in d.i. than certain other students, which is necessary to answer question 16. Statement (v) provides information about the order of marks in quants, which is necessary to answer question 18. Therefore, the statement that is not necessary to answer the questions is statement (iii), which only provides information about B's marks in quants relative to D and in d.i. relative to C. This information is not required to answer any of the questions.

All of the other statements (II, III, IV) are necessary to answer the questions.

To learn more about the data interpretation:

https://brainly.com/question/1638242.

#SPJ11

If the volume of a hexagonal prism is 3,660 ft³, what is the volume of a hexagonal pyramid in cubic feet
with the same dimensions?

Answers

The volume of a hexagonal pyramid in cubic feet with the same dimensions = 1220 ft³

What is hexagonal  pyramid?

A hexagοnal pyramid is a three-dimensiοnal geοmetric shape that cοnsists οf a base that is a regular hexagοn (a six-sided pοlygοn with all sides and angles equal) and six triangular faces that meet at a single pοint abοve the base, called the apex.  The six triangular faces fοrm a pyramid shape with the base, which is why it's called a hexagοnal pyramid.

This relatiοnship can be derived using the fοrmula fοr the vοlume οf a pyramid  V = (1/3)Bh, where B is  area οf  base and h is  height οf pyramid. Since the base οf the pyramid is a hexagοn inscribed within the hexagοnal base οf the prism, the area οf the base is (3√3/2)a², where a is the side length οf the hexagοn. The height οf the pyramid is the same as the height οf the prism, which we can call h.

Thus, the volume of pyramid is

[tex]\rm V_p[/tex] = (1/3)(3√3/2)a²h

= (√3/2)a²h, while the volume of prism is

[tex]\rm V_p[/tex]r = [tex]\rm B_p[/tex]r h = (3√3/2)a²h.

Dividing [tex]\rm V_p[/tex]r by 3 gives [tex]\rm V_p[/tex]

so we have [tex]\rm V_p[/tex] = [tex]\rm V_p[/tex]r/3, as claimed. so

[tex]\rm V_p[/tex] = 3360/3 ft³

[tex]\rm V_p[/tex] = 1220ft³

volume of a hexagonal pyramid in cubic feet 1220ft³

To know more about hexagonal prism, visit:

brainly.com/question/30679221

#SPJ1

Simplify the expression. csc^2x-1/1+sin x
A. csc x+1
B. csc x(csc x-1)
C. sin^2x-csc x
D. csc^2x-cos x tan x

Answers

Answer:

We can start by simplifying the numerator of the expression:

csc^2x - 1 = (1/sin^2x) - 1 = (1 - sin^2x) / sin^2x = cos^2x / sin^2x = cos^2x csc^2x

Now we can substitute this into the original expression:

csc^2x-1/1+sin x = (cos^2x csc^2x) / (1 + sin x)

We can then simplify this further by using the identity 1 + sin x = (sin^2x + cos^2x) / sin x:

(cos^2x csc^2x) / (1 + sin x) = (cos^2x csc^2x) / [(sin^2x + cos^2x) / sin x]

= cos^2x csc^2x sin x / (sin^2x + cos^2x)

= cos^2x csc^2x sin x / 1

= cos^2x csc^2x sin x

This expression can be simplified using the identity cos^2x = 1 - sin^2x:

cos^2x csc^2x sin x = (1 - sin^2x) csc^2x sin x = (1/sin^2x - 1) sin x = csc^2x - sin x

Therefore, the simplified expression is csc^2x - sin x. Answer: none of the given options.

(please could you kindly mark my answer as brainliest)

julie is a 14 year old student at odyssey charter high school. she is getting ready for beach season and wants to lose 3 pounds in four weeks. on average how many extra calories does julie need to burn each week to meet her goal?

Answers

To achieve her goal, Julie needs to burn an extra 2,625 / 7 = 375 calories every day.

Find how many extra calories needed

To calculate how many extra calories Julie needs to burn each week to lose 3 pounds in four weeks, we need to use the following formula:

1 pound of body weight = 3,500 calories

3 pounds of body weight = 3 x 3,500 = 10,500 calories

Julie wants to lose 3 pounds in 4 weeks.

Therefore, her weekly goal would be to lose 10,500 / 4 = 2,625 calories.

To burn 2,625 extra calories in a week, Julie needs to burn 375 calories extra each day.

Therefore, she needs to burn an extra 2,625 / 7 = 375 calories every day to achieve her goal.

Learn more about extra calories at

https://brainly.com/question/22979550

#SPJ11

If the cost of 7m is Rs. 1470, find the cost of 5m cloth

Answers

By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

To know more about unitary method here

https://brainly.com/question/28276953

#SPJ4

A certain population is strongly skewed to the left. We want to estimate its mean, so we will collect a sample. Which should be true if we use a large sample rather than a small one?
I. The distribution of our sample data will be closer to normal.
II. The sampling model of the sample means will be closer to normal.
III. The variability of the sample means will be greater.
A. I and II only
B. I only
C. III only
D. II and III only
E. II only

Answers

A. I and II only true if we use a large sample rather than a small one

sampling model

Define sampling model

A sampling model is a statistical model used to describe the behavior of a sample statistic. In other words, it is a model that describes the distribution of a particular sample statistic, such as the mean or standard deviation, as it is repeatedly sampled from a population.

When a sample is drawn from a population that is strongly skewed to the left, a small sample may not accurately represent the true population mean. However, if a large sample is taken, the sample mean is more likely to be normally distributed, due to the central limit theorem. This means that both statement I and II are true.

Statement III is false because as the sample size increases, the variability of the sample means actually decreases. This is because larger samples tend to have less sampling error and are more representative of the population as a whole.

to know more about statistics, visit;

https://brainly.com/question/29093686

#SPJ1

Which of the following would be the standard deviation for this sample data set: 5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5?
1.80
1.72
2.68
5.36

Answers

The standard deviation for this sample data set is 1.80.

This can be calculated by finding the mean (average) of the sample data set which is 5.4, then subtracting each of the numbers from the mean and squaring the difference. Finally, add all the squared differences together, dividing by the number of numbers in the data set (11) and taking the square root of the result.
Mean = 5.4
5 - 5.4 = -0.4  →  (-0.4)² = 0.16
7 - 5.4 = 1.6  →  (1.6)² = 2.56
6 - 5.4 = 0.6  →  (0.6)² = 0.36
9 - 5.4 = 3.6  →  (3.6)² = 12.96
6 - 5.4 = 0.6  →  (0.6)² = 0.36
4 - 5.4 = -1.4  →  (-1.4)² = 1.96
4 - 5.4 = -1.4  →  (-1.4)² = 1.96
6 - 5.4 = 0.6  →  (0.6)² = 0.36
5 - 5.4 = -0.4  →  (-0.4)² = 0.16
2 - 5.4 = -3.4  →  (-3.4)² = 11.56
5 - 5.4 = -0.4  →  (-0.4)² = 0.16
Sum of squared differences = (0.16 + 2.56 + 0.36 + 12.96 + 0.36 + 1.96 + 1.96 + 0.36 + 0.16 + 11.56 + 0.16) = 28.8
Standard deviation = √(28.8/11) = √2.62 = 1.80

You can learn more about standard deviation at: brainly.com/question/29758680

#SPJ11

The sum of two expressions is x2-y2-2xy+y-7. if one of them is 2x2+3y2-7y+1, find the other.

I need proper step by step answer or else I will be terminating your answer.

Answers

Answer:

-x^2 - 2xy - 2y^2 + 8y - 8.

Step-by-step explanation:

Let the other expression be A. Then, we have:

x^2 - y^2 - 2xy + y - 7 = (2x^2 + 3y^2 - 7y + 1) + A

Simplifying the left side:

x^2 - y^2 - 2xy + y - 7 = 2x^2 + 3y^2 - 7y + 1 + A

Rearranging the terms:

A = x^2 - y^2 - 2xy + y - 7 - 2x^2 - 3y^2 + 7y - 1

Simplifying further:

A = -x^2 - 2xy - 2y^2 + 8y - 8

Therefore, the other expression is -x^2 - 2xy - 2y^2 + 8y - 8.

Answer:

the other expression is -x^2 - 2y^2 - 2xy + 8y - 8.

Step by step explanation:

We are given that the sum of two expressions is x^2 - y^2 - 2xy + y - 7, and we are told that one of them is 2x^2 + 3y^2 - 7y + 1. Let's call the other expression A, so we have:

A + 2x^2 + 3y^2 - 7y + 1 = x^2 - y^2 - 2xy + y - 7

Now we can rearrange this equation to solve for A:

A = x^2 - y^2 - 2xy + y - 7 - 2x^2 - 3y^2 + 7y - 1

Simplifying the right-hand side, we get:

A = -x^2 - 2y^2 - 2xy + 8y - 8

Therefore, the other expression is -x^2 - 2y^2 - 2xy + 8y - 8.

6 ft
Find the area.
8 ft
8 ft
Remember: A = πr²
A = [?] ft²
Round to the nearest
hundredth.
Use 3.14 for T.

Answers

The area of the figure is the collective sum of area of the square, rectangle and semi-circle which is 100.56 squared feet.

What is the area of the figure

To find the area of the figure, we need to find the area of the square, semi-circle and triangle.

A = Area of square + area of triangle + area of semi-circle

A = L² + 1/2(bh) + πr

A = 8² + 1/2(6 * 8) + 3.14(4)

A = 64 + 24 + 12.56

A = 100.56 ft²

The area of the figure is 100.56ft²

Learn more on area of square here;

https://brainly.com/question/24487155

#SPJ1

6x+3y=−12 ? (0,−4) if x=−3 , what is the value of y?

Answers

In equation 6x+3y=−12, if value of x is -3 then by using substitution method the value of y is 2.

To find the value of y, we can use the substitute method with the given value of x = -3 in the equation 6x + 3y = -12 and solve for y:

6x + 3y = -12 (substitute x = -3)

6(-3) + 3y = -12

-18 + 3y = -12 (add 18 to both sides)

3y = 6

y = 2

Therefore, by using substitution method we find that the value of y when x = -3 is 2.

To know more about substituting method:

https://brainly.com/question/30284922

#SPJ4

____The given question is incorrect, the correct question is given below:

In equation 6x+3y=−12 if x=−3 , what is the value of y?

It is given that quadrilateral abcd is a kite. we know that ad ≅ cd by the definition of . by the kite diagonal theorem, ac is to bd this means that angles aed and ced are right angles. we also see that ed ≅ ed by the property. therefore, we have that δaed ≅ δced by .

Answers

By the congruence postulate, we have shown that the quadrilateral is  ΔAED ≅ ΔCED.

Let's start by showing that AD = CD. Since AB = AD and BC = CD, we can rewrite AB + BC as AD + CD. This means that AD = AB + BC - CD. But we know that AB = AD, so we can substitute AD for AB to get AD + BC = 2AD + CD. Simplifying this equation, we get AD = CD.

Next, we can show that AE = CE. Since AC is a diagonal of the kite, we know that AC bisects angle BAD and angle BCD. This means that angle BAC = angle DAC and angle BDC = angle CDC. Since AD = CD, we know that triangle ACD is isosceles, so angle ACD = angle CAD.

Using these angle equalities, we can conclude that angle CAE = angle CDE. Since AC ⊥ BD, we know that angle CAD = angle CDE, so we can conclude that triangle ACE is isosceles, which means that AE = CE.

Finally, we need to show that angle AED = angle CED. Since AD = CD and AE = CE, we know that triangles AED and CED have two pairs of congruent sides. Additionally, we know that AC is a common side of the triangles.

Since AC is perpendicular to BD, we know that angle ACD and angle BDC are complementary angles.

This means that angle ACD = 90 - angle BDC and angle CAD = 90 - angle BAC. Using these angle equalities, we can conclude that angle AED = angle CED.

To know more about quadrilateral here

https://brainly.com/question/29934440

#SPJ4

To make a fruit smoothie, Olivia uses 4 blueberries, 3 strawberries, 1 banana, 5 orange slices, and 2 slices of mango. What is the ratio of blueberries to banana?

Answers

Thus, the ratio for the number of blueberries to banana is 4:1.

Define about the ratios of the numbers?

A ratio in mathematics is a correlation of at least two numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, and the divisor or integer that is dividing is referred to as the consequent.

A ratio compares two numbers by division. Comparing one quantity to the total, for example the dogs that belong to all the animals in the clinic, is known as a part-to-whole analysis. These kinds of ratios occur considerably more frequently than you might imagine.

The given data for preparing fruit smoothie:

4 blueberries, 3 strawberries, 1 banana, 5 orange slices, and 2 slices of mango.

Then,

ratio of  blueberries to banana:

blueberries/banana = 4/1

Thus, the ratio for the number of blueberries to banana is 4:1.

Know more about the ratios of the numbers

https://brainly.com/question/12024093

#SPJ1

rory's castle measures 10 feet by 16 feet and has a perimeter of 52 ft mikes castle is 6 feet by 6feet what is the differecnce between permieters

Answers

The difference in perimeter between Rory's castle and Mike's castle is 16 feet. Rory's castle has a perimeter of 52 feet (10 feet + 10 feet + 16 feet + 16 feet), and Mike's castle has a perimeter of 24 feet (6 feet + 6 feet + 6 feet + 6 feet).

for more questions related to perimeters, refer here:

https://brainly.com/question/6465134#

#SPJ11

The difference between the perimeters of these two castles is 28 ft.

Rory’s castle measures 10 feet by 16 feet and has a perimeter of 52 ft and Mike’s castle is 6 feet by 6 feet. Now, we are going to find the difference between the perimeters of these two castles.

The perimeter of a rectangle can be found by adding all the sides of a rectangle. Therefore, the formula of the perimeter of a rectangle is:

Perimeter of a rectangle = 2 × (Length + Breadth)

Length of Rory’s castle = 16 ft,       Breadth of Rory’s castle = 10 ft

Perimeter of Rory’s castle = 2 × (Length + Breadth) = 2 × (16 + 10) ft

= 2 × 26 ft= 52 ft

Therefore, the perimeter of Rory’s castle is 52 ft.

Length of Mike’s castle = 6 ft,         Breadth of Mike’s castle = 6 ft

Perimeter of Mike’s castle = 2 × (Length + Breadth) = 2 × (6 + 6) ft

= 2 × 12 ft = 24 ft

Therefore, the perimeter of Mike’s castle is 24 ft.

.Difference between the perimeters of these two castles= Perimeter of Rory’s castle − Perimeter of Mike’s castle

= 52 − 24= 28 ft

Therefore, the difference between the perimeters of these two castles is 28 ft.

To learn more about perimeter refer :

https://brainly.com/question/15401834

#SPJ11

What is the Smallest Positive Integer with at least 8 odd Factors and at least 16 even Factors?

Answers

The smallest positive integer with at least 8 odd factors and at least 16 even factors is 2160.

Other Questions
Use the gradient to find the directional derivative of the function at P in the direction of PQ. f(x, y) = 3x2 - y2 + 4, P(1, 5), 2(4,2) Abdul flips a weighted coin 64 times and gets 16 tails. Based on experimental probability how many of the next 40 flips should Abdul expect to come up tails? Analyse the impact impact of sexual harassment as an ethical misconduct on businesses Gavin drank nine 8-ounce glasses of watertoday. How many quarts of water did hedrink? what business is amazon in? is it spreading itself too thin? or is it well positioned for the future? The weight of a miniature Tootsie roll is normally distributed with a mean of 3.30 grams and standard deviation of .13 gram 4. What is the meaning of the word "bear" as it isused in line 34?A. to carryB. to curveC. to presentD. to sink Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 25 grams of C is formed in 8 minutes. How much is formed in 16 minutes? (Round your answer to one decimal place.)grams. What is the limiting amount of C after a long time?____gramsHow much of chemicals A and B remains after a long time? Help me pls Fast i need it now im going to give 50 points what are the four main ways to view your credit score? in your text, read about james otis in the beginning and end of this chapter. how does his life and actions represent america's feelings that lead to the declaration of independence? hey come on out by Shinichi hoshiexplain the story as contemporary fantasy and satire I don't know if its correct please help Unlike the least-cost rule where as long as the ratios of both equations are the same and equal (ex. 20/4 = 10/2 = 5/1 = 5), when the ratio between the two equations for the profit-maximizing rule each always equal 1 (ex. 10/10 = 5/5), then the purely competitive firm has ______. In the mid-twentieth century, the presence of Chinese and Japanese populations in North America and of South Asian populations in the Caribbean and South Africa is best explained by which of the following?ATrade networks of the seventeenth and eighteenth centuriesBEuropean and United States imperial conquests of the seventeenth and eighteenth centuriesCLabor migrations during the nineteenth centuryDRefugees fleeing warfare and repressive regimes during the twentieth century The Myers-Briggs Type Indicator classifies people according to personality types identified by: was the united states justified in declaring war on mexico? What is the gravitational force on a 35.0 kg object standing on the Earths surface? name the time period when the pathogen begins to develop inside the host causing symptoms to occur. How many people tried out for the Volleyball team? But I have to re write it into a staticstical question. HELP