Answer:
C
Step-by-step explanation:
Which set of numbers is arranged in increasing order?
Answer:
Hey mate, I think you forgot to attach photo of sets. Check it.
In ΔIJK, k = 7.7 cm, i = 3.4 cm and ∠J=30°. Find the length of j, to the nearest 10th of a centimeter.
Answer:
To the nearest tenth = 10.8cm
Step-by-step explanation:
Using the cosine rule
J² = i² + k² + 2ikcosj
J² = 3.4² + 7.7² + 2(3.4)(7.7) cos 30
J² = 11.56 + 59.29 + 52.36cos30
J² = 11.56 + 59.29 + 52.36(0.8660)
J² = 11.56 + 59.29 + 45.35
J² = 116.2
J=√116.2
J= 10.78 cm
To the nearest tenth = 10.8cm
Answer:
its 5.1
Step-by-step explanation:
\text{S.A.S.}\rightarrow \text{Law of Cosines}
S.A.S.→Law of Cosines
a^2=b^2+c^2-2bc\cos A
a
2
=b
2
+c
2
−2bccosA
From reference sheet.
j^2 = 7.7^2+3.4^2-2(7.7)(3.4)\cos 30
j
2
=7.7
2
+3.4
2
−2(7.7)(3.4)cos30
Plug in values.
j^2 = 59.29+11.56-2(7.7)(3.4)(0.866025)
j
2
=59.29+11.56−2(7.7)(3.4)(0.866025)
Square and find cosine.
j^2 = 59.29+11.56-45.34509
j
2
=59.29+11.56−45.34509
Multiply.
j^2 = 25.50491
j
2
=25.50491
Add.
j=\sqrt{25.50491} \approx5.05 \approx5.1
j=
25.50491
≈5.05≈5.1
Square root and round.
peter surveyed a random sample of adults and a random sample of teenagers about the number of hours that they exercise in a typical week. What comparative inference can Peter make from the data sets?
Answer:
Step-by-step explanation:
Hello!
Peter is interested in comparing the number of hours adults and teenagers exercise per week, for this selected one random group of adults and a random group of teenagers and surveyed them on their weekly exercise times.
To compare the weekly exercise time of both populations, the best is to use a measure central tendency, so you can compare their positions and see if they are significantly similar or not.
The most common parameters to use for comparing two populations are its population means. So the analysis to do is a two independent sample test.
I hope this helps!
Caleb feeds his puppy 5/8 of a cup at each meal. How many 1/8 cups does he feed his puppy at each meal
Answer:
[tex] \frac{1}{2} [/tex]
[tex] \\ [/tex]
Step-by-step explanation:
[tex] \frac{5}{8} - \frac{1}{8} \\ = \frac{4}{8} \\ = \frac{1}{2} [/tex]
**10 POINTS PLEASE HELP!!**
A cube is dilated by a factor of 4. By what factor does its volume increase? Complete the explanation of your reasoning.
The volume increases by a factor of ____. When the cube is dilated, each side length is increased by (select), so the volume is increased by (select) the dilation factor.
Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
What’s the correct answer for this?
Answer:
Second option is the correct answer
[tex](x+11)^2+(y+6)^2 = 324[/tex]
Step-by-step explanation:
[tex]x^{2} +12y+22x+y^2-167=0\\x^{2}+22x +y^2 +12y-167=0\\(x^{2}+22x +121)-121 +(y^2 +12y+36)-36-167=0\\(x+11)^2+(y+6)^2-324 = 0\\\huge\red{\boxed{(x+11)^2+(y+6)^2 = 324}}\\[/tex]
Answer:
[tex](x+11)^2+(y+6)^2=324[/tex]
Step-by-step explanation:
[tex]x^2+12y+22x+y^2-167=0\\\mathrm{Circle\:Equation}\\\left(x-a\right)^2+\left(y-b\right)^2=r^2\:\:\mathrm{is\:the\:circle\:equation\:with\:a\:radius\:r,\:centered\:at}\:\left(a,\:b\right)\\\mathrm{Rewrite}\:x^2+12y+22x+y^2-167=0\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}\\x^2+12y+22x+y^2-167=0\\\mathrm{Move\:the\:loose\:number\:to\:the\:right\:side}\\x^2+22x+y^2+12y=167\\Group\:x-variables\:and\:y-variables\:together\\\left(x^2+22x\right)+\left(y^2+12y\right)=167[/tex]
[tex]\mathrm{Convert}\:x\:\mathrm{to\:square\:form}\\\left(x^2+22x+121\right)+\left(y^2+12y\right)=167+12\\Convert\:to\:square\:form\\\left(x+11\right)^2+\left(y^2+12y\right)=167+121\\\mathrm{Convert}\:y\:\mathrm{to\:square\:form}\\\left(x+11\right)^2+\left(y^2+12y+36\right)=167+121+36\\Convert\:to\:square\:form\\\left(x+11\right)^2+\left(y+6\right)^2=167+121+36\\\mathrm{Refine\:}167+121+36\\\left(x+11\right)^2+\left(y+6\right)^2=324\\Rewrite\:in\:standard\:form[/tex]
[tex]\left(x-\left(-11\right)\right)^2+\left(y-\left(-6\right)\right)^2=18^2\\\mathrm{Therefore\:the\:circle\:properties\:are:}\\\left(a,\:b\right)=\left(-11,\:-6\right),\:r=18[/tex]
compare and contrast perfect squares and imperfect squares. explain your reasoning by talking about square roots and the process of finding perfect square roots and imperfect square roots.
Answer: perfect squares are the squares of the whole numbers: 1, 4, 9,25,36,49,64,81,100...... For example, 9 is a squared number because it can be written as 3x3. However, imperfect squares are numbers whose square roots contain fractions or decimals. For example square root of 20 = 4 1/2
The square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.
We need to compare and contrast perfect squares and imperfect squares.
Perfect squares: When you multiply an integer by itself, you get a perfect square, which is a positive integer. Perfect squares are sums that are the products of integers multiplied by themselves, to put it simply. A perfect square is typically expressed as x², where x is an integer and x²'s value is a perfect square.
Imperfect squares: Numbers with fractional or decimal square roots are considered imperfect squares.
Therefore, the square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.
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LOTS OF POINTS PLEASEE HELP
Answer:
i) x = 0.25 and 1.25
ii) x = -0.5 and 1.5
Step-by-step explanation:
Given that y = 4x² - 4x - 1. So for question 1, you can let y = 0, then see which x-value did the curve touches 0 at y-axis.
Same for question 2.
Gale makes two gallons of a punch solution that contains 25% orange juice. How many gallons of orange juice should gayle add to make the solution 40% orange juice
Answer:
0.5 gallons
Step-by-step explanation:
Let x represent the amount of orange juice (in gallons) Gayle must add to the mix. Then the total amount of orange in the mix is ...
0.25(2) +x = 0.40(2+x)
0.50 +x = 0.80 +0.40x . . . . eliminate parentheses
0.60x = 0.30 . . . . . . . . . . . . subtract 0.50+0.40x
x = 0.5 . . . . . . . . . . . . . . . . . divide by 0.60
Gayle should add 0.5 gallons of orange juice to make a 40% solution.
(Easy question, plz answer) Roberto made fruit punch. He used 3 quarts of mango juice and 1 pint of pomegranate juice. He used 1 quart more cranberry juice than mango juice, How many cups of fruit punch did Roberto make?
Answer:
30 cups
Step-by-step explanation:
mango: 16 cups x 3/4 = 12 cups
pomegranate: 1 pint = 2 cups
cranberry: 1 gallon= 16 cups
Cups of fruit punch: 12+2+16= 30
Roberto made 30 cups of Fruit punch( Hopefully this helped )
Expiration dates that establish the shelf lives of pharmaceutical products are determined from stability data in drug formulation studies. In order to measure the rate of decomposition of a particular drug, it is stored under various conditions of temperature, humidity, light intensity, etc., and assayed for intact drug potency at FDA-recommended time intervals of every three months during the first year. In this example, the assay Y (mg) of a certain 500 mg tablet formulation is determined at time X (months) under ambient storage conditions.
X 0 3 6 9 12
Y 500 490 470 430 350
(a) Graph these data points (xi , yi) in a scatterplot, and calculate the sample correlation coefficient r=Sxy/Sx.Sy. Classify the correlation as positive or negative, and as weak, moderate, or strong.
(b) Determine the equation of the least-squares regression line for these data points, and include a 95% confidence interval for the slope β1.
(c) Sketch a graph of this line on the same set of axes as part (a); also calculate and plot the fitted response values y, and the residuals ei= yi - ŷi, on this graph.
(d) Complete an ANOVA table for this linear regression, including the F-ratio and corresponding p-value.
Answer:
(a) The correlation is positive
Step-by-step explanation:
What’s the correct answer for this?
Answer:
The third one.
Step-by-step explanation:
Area of DEF = 6 sq ft
Find the area of ABC. Please help I need BOTH green and grey boxes please .
Answer:
54 ft^2
(54 in green box; 2 in grey box)
Step-by-step explanation:
We have 2 similar triangles, ABC and DEF.
The area of triangle DEF is given as 6 sq ft.
Side BC of triangle ABC measures 12 ft.
The corresponding side to BC in triangle DEF is EF. It measures 4 ft.
That gives us a scale factor from triangle DEF to triangle ABC.
To find the scale factor between two similar polygons, divide the length of a side of the second polygon by the length of the corresponding side of the first polygon.
scale factor = BC/EF = (12 ft)/(4 ft) = 3
The scale factor of side lengths is 3.
The ratio of the areas is the square of the scale factor.
ratio of areas = 3^2 = 9
Now multiply the area of the first triangle (DEF) by the ratio of areas to get the area of the second triangle (ABC).
area of triangle ABC = 9 * (area of triangle DEF)
area of triangle ABC = 9 * (6 sq ft)
area of triangle ABC = 54 sq ft
Answer: 54 ft^2
(54 in green box; 2 in grey box)
Colin invests £3900 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
Colin will have 421824 pennies after 2 years
Step-by-step explanation:
Given:
Amount invested in bank by Colin (P) = £3900
Rate of interest (r) = 4%
Time period (n) = 2 years
To find: Amount after 2 years (A)
Solution:
Formula for amount (A) is [tex]A=P\left ( 1+\frac{r}{100} \right )^n[/tex]
[tex]A=3900\left ( 1+\frac{4}{100} \right )^2\\=3900\left ( 1+\frac{1}{25} \right )^2\\=3900\times \frac{26}{25}\times \frac{26}{25}\\=4218.24[/tex]
As 1 pound = 100 pennies,
4218.24 pounds = 4218.24 × 100 = 421824 pennies
So,
Colin will have 421824 pennies after 2 years.
David saves $25.78 to buy a video game. After he buys the video game, he has $3.04 leftover. How much does David spend on the video game?
Answer:
i think it is 22.75 dollars
Step-by-step explanation:
On a coordinate plane, triangle L M N is shown. Point L is at (negative 3, 4), point M is at (negative 3, negative 1), and point N is at (2, negative 1).
What is true about triangle LMN?
Answer:
A. LM ⊥ MN. D. The triangle is isosceles. E. The triangle is a right triangle.
Step-by-step explanation:
edge 2020 <3
Point A is at (6,1) and point C is at (2,-7) find the coordinates of point B on AC such that AB = 1/3BC
Answer:
B = (5, -1)
Step-by-step explanation:
We can use the required relation to find an expression for B in terms of the given points.
AB = (1/3)(BC)
B -A = (1/3)(C -B)
B = (1/3)C -(1/3)B +A . . . . . add A
(4/3)B = (1/3)C +A . . . . . . . add 1/3B
B = (1/4)C +(3/4)A = (C +3A)/4 . . . . . . multiply by 3/4
B = ((2, -7) +3(6, 1))/4 = (20/4, -4/4) . . . . . substitute given values
B = (5, -1)
Answer:
5/-1
tru trust me
Step-by-step explanation:
Work out the circumference of a circle with radius 7.5 cm take pi to be 3.142
Answer:
47.13
Step-by-step explanation:
The requried circumference of the circle is given as 47.13 cm.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). the equation of the circle is given by
(x - h)² + (y - k)² = r²
Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
The circumference of a circle with a radius of 7.5 cm takes pi to be 3.142 is given as,
Circumference of circle = 2πr
Circumference of circle = 2 × 3.142 × 7.5 = 47.13 cm
Thus, the requried circumference of the circle is given as 47.13 cm.
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There are 4 dogs at each corner. They each see three dogs. How many dogs are there?
Step-by-step explanation:
there are four dogs because each dog at a corner will see the other three dogs at the other corners
Point R is at (4, 1.5) and Point T is at (4, 2.9) on a coordinate grid. The distance between the two points is ____. (Input numbers and decimal point only, such as 8.2.)
Answer:
1.4
Step-by-step explanation:
Both points are on the vertical line x=4, so the distance between them is the difference of their y-coordinates:
2.9 -1.5 = 1.4
The points are 1.4 units apart.
log(0.5) 256 = x
find value of x
Answer:
[tex]=-8[/tex]
Step-by-step explanation:
[tex]\log _{0.5}\left(256\right)=x\\Switch\:sides\\x=\log _{0.5}\left(256\right)\\\mathrm{Rewrite\:}256\mathrm{\:in\:power-base\:form:}\quad 256=2^8\\x=\log _{0.5}\left(2^8\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _{0.5}\left(2^8\right)=8\log _{0.5}\left(2\right)\\x=8\log _{0.5}\left(2\right)\\0.5=2^{-1}\\x=8\log _{2^{-1}}\left(2\right)\\[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _{a^b}\left(x\right)=\frac{1}{b}\log _a\left(x\right),\:\quad \mathrm{\:assuming\:}a\:\ge \:0\\x=8\cdot \frac{1}{-1}\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\x=8\cdot \frac{1}{-1}\\\mathrm{Simplify}\\8\cdot \frac{1}{-1}\\\frac{1}{-1}=-1\\\frac{1}{-1}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{1}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=-1\\=8\left(-1\right)\\[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=-8\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:8\cdot \:1=8\\=-8\\[/tex]
The value of x for the expression is, - 8.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ [tex]log_{0.5} ( 256) = x[/tex]
Now, We can solve the expression by the logarithmic for the value of x as;
⇒ [tex]log_{0.5} ( 256) = x[/tex]
⇒ [tex]x = log_{0.5} ( 256)[/tex]
⇒ [tex]x = log_{0.5} ( 2^8)[/tex]
Apply log rule,
⇒ [tex]x =8 log_{0.5} ( 2)[/tex]
⇒ [tex]x = 8 log_{2^{-1} } ( 2)[/tex]
⇒ [tex]x = 8 *\frac{1}{-1} log_{2 } ( 2)[/tex]
⇒ [tex]x = - 8 log_{2 } ( 2)[/tex]
We know that; [tex]log_{2} 2 = 1\\[/tex]
Hence, We get;
⇒ x = - 8 × 1
⇒ x = - 8
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when you multiply my digits, the product is 30, but when you add my digits, the sum is a prime number. What number am i?
Answer:
65
Step-by-step explanation:
6 x 5 = 30
6+ 5 = 11
therefore, the answer is 65
PLZ HURRY I AM BEING TIMED!!!!! I WILL GIVE BRAINLIEST TO FIRST ANSWER THAT IS APPLICABLE!
When solving the equation, which is the best first step to begin to simplify the equation?
Negative 2 (x + 3) = negative 10
(negative 2) (Negative 2) (x + 3) = negative 10 (negative 2)
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)
StartFraction negative 2 over 2 EndFraction (x + 3) = StartFraction negative 10 over 2 EndFraction
StartFraction negative 2 over negative 10 EndFraction (x + 3) = StartFraction negative 10 over negative 10 EndFraction
Answer: /-2
Step-by-step explanation:
no time to explain but it would make sence using pemdas
Answer:
the answer is B
or
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)
Step-by-step explanation:
now give me my brainly plz
I know I wasn't first but the other guy was wrong
According to a recent study, the average woman's leg hair grows an eighth of an inch per month. A new drug company believes that women who daily take its drug will change their leg hair growth. Before putting its product on the market, the company plans on running a test of the effectiveness of the drug.
a. Which null and alternative hypotheses should the company use for this study?
Answer:
H0: μ = 0.125, Ha: μ ≠ 0.125
Step-by-step explanation:
I got the answer correct on the quiz.
The null and alternative hypotheses should the company use for this study H₀: μ = 0.125 Hₐ: μ > 0.125.
What is Alternate Hypothesis?An alternate Hypothesis is a statistical experiment that is contradictory to the null hypothesis.
The claim made by the company should be
Using the company's product will slow down leg growth. According to the study, the average woman's leg hair grows an eighth of an inch per month. So, the company will claim that using its product the average growth will be less than an eighth of an inch per month. Since, the claim contains the word "less than", it will be the alternate hypothesis.
The Null hypothesis, therefore, would be: The average growth is eight of an inch per month.
Let u represent the growth of hair per month.
The Null and Alternate Hypothesis in symbolic forms would be
Null Hypothesis:
[tex]H_{0} : \mu = 0.125\\[/tex],
Alternate Hypothesis:
[tex]H_{a} : \mu > 0.125[/tex]
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A friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time he takes the large car. If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.5. Given that he was at work on time on a particular morning, what is the probability that he drove the small car? (Give the answer to three decimal places.)
Answer:
The probability that he drove the small car is 0.318.
Step-by-step explanation:
We are given that a friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time he takes the large car.
If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.5.
Let the Probability that he drives the small car = P(S) = [tex]\frac{1}{4}[/tex] = 0.25
Probability that he drives the large car = P(L) = [tex]\frac{3}{4}[/tex] = 0.75
Also, let WT = event that he is at work on time
So, Probability that he is at work on time given that he takes the small car = P(WT / S) = 0.7
Probability that he is at work on time given that he takes the large car = P(WT / L) = 0.5
Now, given that he was at work on time on a particular morning, the probability that he drove the small car is given by = P(S / WT)
We will use the concept of Bayes' Theorem for calculating above probability;
So, P(S / WT) = [tex]\frac{P(S) \times P(WT/S)}{P(S) \times P(WT/S)+P(L) \times P(WT/L)}[/tex]
= [tex]\frac{0.25 \times 0.7}{0.25 \times 0.7+0.75 \times 0.5}[/tex]
= [tex]\frac{0.175}{0.55}[/tex]
= 0.318
Hence, the required probability is 0.318.
A study conducted by Harvard Business School recorded the amount of time CEOs devoted to various activities during the workweek. Meetings were the single largest activity averaging 18 hours per week. Assume that the standard deviation for the time spent in meetings is 5.2 hours. To confirm these results, a random sample of 35 CEOs was selected This sample averaged 16.8 hours per week in meetings. Which of the following statements is correct? A) The interval that contains 95% of the sample means is 16.3 and 19.7 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School. B) The interval that contains 95% of the sample means is 17.1 and 18.9 hours. Because the sample mean is not between these two values, we do not have support for the results of the CEO study by the Harvard Business School C) The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School D) The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we do not have support for the results of the CEO study by the Harvard Business School
Answer:
The correct option is A
Step-by-step explanation:
From the question we are told that
The average number of meetings hours per week is [tex]\mu= 18 \ hours[/tex]
The standard deviation is [tex]\sigma = 5.2 \ hours[/tex]
The sample size is n= 35
The sample average per week is [tex]p = 16.8 \ hours[/tex]
From each solution statement we can deduce that the confidence level is
[tex]t = 95[/tex]%
Thus the significance level is [tex]\alpha = 0.05[/tex]= 5%
The z value for the significance level is gotten as 1.96 from the z-table
The confidence level interval for the sample mean is mathematically evaluated as
[tex]\= x = \mu \pm (1.96 * \frac{\sigma }{\sqrt{n} } )[/tex]
Sustituting values
[tex]\= x = 18 \pm (1.96 * \frac{5.2 }{\sqrt{35} } )[/tex]
[tex]\= x = 18 \pm1.7[/tex]
=> [tex]18 - 1.7 < \= x < 18 +1.7[/tex]
[tex]16.3 < \= x < 19.7[/tex]
The number of visitors to a town increases by 2.5% each year. If the first year the town recorded visitors, there were 575,
which function represents the total number of visitors in terms of the years since they were first counted?
Answer:
575(1+2.5)^x
Step-by-step explanation:
X represents the number of years since they were first counted.
Solve 56 - 10x20 + 8x.
O A. xs-2
O B. X2-2
O c. x52
O D.x22
The value of the given equation is 2 and -10.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given is an equation, x²+8x-20 = 0, we need to solve for x,
x²+8x-20 = 0
Solving for x, by using factorization,
x²+8x-20 = 0
Splitting the middle term,
x²+10x-2x-20 = 0
x(x+10)-2(x+10) = 0
(x-2)(x+10) = 0
x = 2 and x = -10
Hence, the value of the given equation is 2 and -10.
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The complete question is attached
Write your question here keep it simple and clear
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12 + 12 + 18 + 18 = 60
The perimeter is 60 cm
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Answer:
y > -x -3
Step-by-step explanation:
The graph is shaded above the dashed line, indicating y-values in the solution are greater than those on the line, so your inequality will start with ...
y >
The y-intercept of the line is (0, -3), so the "b" value in ...
y > mx +b
will be -3.
The line has a rise of -3 for a run of 3 (between the marked points), so the slope is ...
m = rise/run = -3/3 = -1
Then the inequality you want is ...
y > -x -3