PLEASE HELP!!!!
Find the value for y so that PQ is perpendicular to RS
P(6.–2). Q(-2,8). R(-1.3), S(-9.y)
-1
0
1
2.

PLEASE HELP!!!!Find The Value For Y So That PQ Is Perpendicular To RSP(6.2). Q(-2,8). R(-1.3), S(-9.y)-1012.

Answers

Answer 1

Answer:

A. -1

Step-by-sep explanation:

If PQ is perpendicular to RS, therefore, the slope of RS would be the negative reciprocal of PQ.

Slope of PQ:

P(6,-2), Q(-2, 8)

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 -(-2)}{-2 - 6} = \frac{10}{-8} = -\frac{5}{4} [/tex]

Slope of RS:

Slope of RS is the reciprocal of the slope of PQ, since they are perpendicular.

⅘ is the reciprocal of -⁵/4. Therefore, the slope of RS = ⅘.

Use the slope formula to find the value of y in R(-4, 3), S(-9, y).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Plug in the value

[tex] \frac{4}{5} = \frac{y - 3}{-9 -(-4)} [/tex]

[tex] \frac{4}{5} = \frac{y - 3}{-5} [/tex]

Cross multiply

[tex] (4)(-5) = (y - 3)(5) [/tex]

[tex] -20 = 5y - 15 [/tex]

Add 15 to both sides

[tex] -20 + 15 = 5y - 15 + 15 [/tex]

[tex] -5 = 5y [/tex]

Divide both sides by 5

[tex] \frac{-5}{5} = \frac{5y}{5} [/tex]

[tex] -1 = y [/tex]

y = -1


Related Questions

Will mark brainliest, PLEASE! A department buys 300 shirts at a cost of $1,800 and sells them for $10 each. Find the percent markup rounded to the nearest percent

Answers

Answer:

=166.66% markup

Step-by-step explanation:

1800/300 = $6 a shirt

If they're being sold for $10

10/6 =5/3

=1.666

x100

=166.66% markup

The cost of 5 scarves is $63.75. What is the unit price?

Answers

Unit price = total price / total quantity

Unit price = 63.75 / 5

Unit price = $12.75

The unit price is 12.75 you take the number all the scarves cost (63.75) and divide it by the number of scarves (5) so 63.75/5= 12.75

You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.833. Can you be confident that your predicted value will be reasonably close to the actual value? Why or why not? ​

Answers

The correlation Coefficient gives the measure of the strength and direction of the relationship between two variables. - 0.833 depicts a strong negative relationship. Hence, one can be confident that the predicted value will be close to the actual Value.

The Correlation Coefficient, R ranges from - 1 to 1, with values closer to - 1 and 1 representing strong negative and positive relationship respectively, which is only achieved of the data is modeled very well.

Therefore, since, - 0.833 is a strong correlation Coefficient, then we can be confident in the predicted value.

Learn more : https://brainly.com/question/19805544

Above is the layout of a running track and inside the track is a field. If it costs $5.00 /m2 for soil for the field,
describe how you would determine the total cost to cover the field with soil. help!

Answers

Answer:

We can think in the area as:

A rectangle of 100m by 64m

And two half circles (o a whole circle if we combine them) of diameter = 64m

Then we need to calculate the area of these two figures and then sum them.

The area of a rectangle of width W and length L is:

A = A*L

then the area of the rectangle will be:

A1 = 100m*64m = 6400m^2

The area of a circle of diameter d is:

A = pi*(d/2)^2

in this case, d = 64m

pi = 3.14

Then:

A2 =  3.14*(64m/2)^2 = 3215.35m^2

The total area of the field is:

A = A1 + A2 = 6400m^2 + 3215.35m^2 = 9615.36 m^2

Now, we know that the cost per square meter is $5.00

Then the total cost will be:

Cost = A*$5.00/m^2 = 9615.36 m^2*$5.00/m^2 = $35215.36

Toy stored 945 points playing 3 games of pinball. He scored
312 points in the first game and 356 points in the second game.
towary points did Troy score in the third game?
Show your work
Will
ten
estir

Answers

Answer:

178

Step-by-step explanation:

Solve x^2+ 8x- 6=0 using the Quadratic Formula

Answers

Answer:

x=−4+√22 or x=−4−√22

Step-by-step explanation:

Substitute all values in the quadratic formula.

Solve.

Answer:

[tex]\boxed {\sf x= {{ - 4\pm \sqrt{22} }}}[/tex]

Step-by-step explanation:

The quadratic equation is used to find the roots of a quadratic. The formula is:

[tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}[/tex]

when  [tex]{ax^2 + bx + c = 0}[/tex]

We are given the quadratic: [tex]x^2+8x-6=0[/tex]

If we compare the given quadratic to the standard form of a quadratic, then:

[tex]a= 1\\b=8 \\c= -6[/tex]

Substitute the values into the formula.

[tex]x = \frac{{ - 8\pm \sqrt {8^2 - 4(1)(-6)} }}{{2(1)}}[/tex]

Solve inside the radical first.

Solve the exponent.

8²= 8*8= 64

[tex]x = \frac{{ - 8\pm \sqrt {64 - 4(1)(-6)} }}{{2(1)}}[/tex]

Multiply 4, 1, and -6.

4(1)(-6)= 4(-6)= -24

[tex]x = \frac{{ - 8\pm \sqrt {64 - -24}}}{{2(1)}}[/tex]

Add 64 and 24 (2 negative signs become a positive)

64- -24 64+24=88

[tex]x = \frac{{ - 8\pm \sqrt {88}}}{{2(1)}}[/tex]

Solve the denominator.

[tex]x = \frac{{ - 8\pm \sqrt {88}}}{{2}}[/tex]

The radical can be simplified. 88 is divisible by a perfect square: 4

[tex]x= \frac{{ - 8\pm \sqrt {4}\sqrt{22} }}{{2}}[/tex]

Take the square root of 4.

[tex]x= \frac{{ - 8\pm 2\sqrt{22} }}{{2}}[/tex]

Divide by 2.

[tex]x= {{ - 4\pm \sqrt{22} }}[/tex]

The roots are: x=0.690416  and x=−8.69042

What is the unit rate for 3 gallons of paint for $16.50?

Answers

Answer:

$5.50 per gallon of paint

Step-by-step explanation:

To check answer: Divide: 16.50 ÷ 3

Will put brainliest
What is the point of intersection for the lines y – x = 0 and 3x + 5y = 15?

Answers

Y will equal 3 because 5x3 is 15 and 0x3 is 0 so 15+0=15

The average wind speed at a local weather station is 35.3 miles per hour. The highest speed ever recorded at the station is 318.0 miles per hour. How much faster is the highest recorded wind speed than the average wind​ speed?

Answers

Answer:

282.7

Step-by-step explanation:

To find the answer, we use subtraction.

So, 318.0 - 35.3= 282.7

Hope this helps you!!

y = 1/8 x+3
A) Slope: 8; y-intercept: 3
B) Slope: 1/3; y-intercept: 1/8
C) Slope: 1; y-intercept: 1/8
D) Slope: 1/8; y-intercept: 3​

Answers

Answer:

Its D

Step-by-step explanation:

Slope intercept form is y=MX +B

if you plug it in, it would be y=1/8x+3 meaning 1/8 is the slope (m) and 3 is the y intercept (b)

Help me with this question i will give braibnly if right

Answers

There are 4 lines between each number so each line would be 1/4

A is at -1 1/2

B is -3/4

C is 3/4

D is 1 3/4

#1 Jo estimates that a piece of ribbon measures 8.5 inches. If it actually measures 7.8 inches, what is the percent error of Jo’s estimate? *

Answers

Answer:

8.97 %

Step-by-step explanation:

error is 8.5 - 7.8 inches = 0.7 inches

now

x % of 7.8  = 0.7

7.8x/100 = 0.7

x = 70/7.8 %

= 8.97 %

Answer:

Jo's estimate was 109% the actual answer

Step-by-step explanation:

109% of 7.8 is 8.502, round up to 8.5

May I have brainliest please? :)

Quickest answer receives Brainliest, but try your best! Trolls will not receive Brainliest.

Q: The graph shows the cost C in dollars of w pounds of blueberries, a proportional relationship. Select ALL the true statements.

A. 1 lb (pound) of blueberries cost $2.75
B. 2.75 lbs (pounds) of blueberries cost $1
C. 5 lbs (pounds) of blueberries cost $15.50
D. 12 lbs (pounds) of blueberries cost $33
E. The point (3,9) is on the graph of the proportional relationship.

Answers

A, D

Step-by-step explanation:

Cost ($) = C

lbs (Blueberries) = W

One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.

6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.

To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.

2.75 * 5 is 13.75 (This means C is wrong)

Do the same but with 12 for D

2.75 * 12 is 33, so D is correct

You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)

Hope this helps! ^_^

-TheUnknownScientist

2. Paula learned to play a total of 10 pieces over the course of 5 weeks of piano lessons. In all, how
many weeks of piano lessons will Paula need before she will be able to play a total of 18 pieces?

Answers

10pieces = 5 weeks , to get how long it takes for 1 piece do 5/10 = 0.5, so 1 piece = 0.5 weeks the multiply them both by 18 to get how many weeks it would be so 18 pieces = 9 weeks

You spend half of your money on a movie ticket. Then you spend half of what you have left to buy a large popcorn. Then you spend half of what remains to buy a small drink. Which expression equals the fraction of money you have left?​

Answers

Answer:

1/8

Step-by-step explanation:

1 divided by 2 = 1/2

1/2 divided by 2 = 1/4

1/4 divided by 2 = 1/8

What are 2 ratios equivalent to 3:12

Answers

Answer:

6/24

Step-by-step explanation:

Well, this ratio would be written as 6/24. Using your knowledge of equivalent fractions, you can see that 3/12 = 6/24 (multiply the numerator and denominator of 3/12 by 2 and you get 6/24.

Hope this helps you.

Mark as Brainliest Please.!!!

see image help me as fast as possible, please

Answers

Answer: 11.4

Step-by-step explanation:

area of rect. = 24

area of circle (half circle+half circle = full circle) = pi*r^2 = pi*(2*2) = pi*4 = about 12.57

2 = radius since 4 = diameter

24-12.57 = 11.43

round = 11.4

Answer:

11.4

Step-by-step explanation:

Area=area of rectangle-area of circle

=6*4 -pi(2^2)

=11.4

area of circle =pi (r^2)

r-radius of circle

Which correct variables describes the slope?
A.X/Y
B.Y/X
C.W/Z
D.Z/W

Answers

Answer:

c

Step-by-step explanation:

i took the test.

Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements. Triangle JKL is congruent to triangle . Side LK corresponds to sides . Angle JLK corresponds to angles

Answers

Answer:

Triangle JKL is congruent to triangle

✔ ABC

.

Side LK corresponds to sides

✔ WV and CB

.

Angle JLK corresponds to angles

✔ UWV and ACB

.

Step-by-step explanation:

just did it on edge 2020

Triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC.

Angle JLK corresponds to angles BAC.

What is congruent?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

As per the given information,

ΔJKL ≅ ΔUVW: This means that triangle JKL is congruent to triangle UVW. Congruent triangles have the same shape and size, so their corresponding angles and sides are equal in measure and length, respectively.

ΔUVW ≅ ΔABC: This means that triangle UVW is congruent to triangle ABC.

Combining these two pieces of information, we can conclude that:

ΔJKL ≅ ΔABC: This is because if two triangles are congruent to the same triangle, then they must be congruent to each other. Therefore, triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC: Corresponding sides of congruent triangles are equal in length. In this case, side LK corresponds to side VW (since JKL ≅ UVW), which corresponds to side BC (since UVW ≅ ABC).

Angle JLK corresponds to angles BAC: Corresponding angles of congruent triangles are equal in measure. In this case, angle JLK corresponds to angle UVW (since JKL ≅ UVW), which corresponds to angle BAC (since UVW ≅ ABC).

So, we can say that triangle JKL is congruent to triangle ABC, side LK corresponds to sides BC, and angle JLK corresponds to angles BAC.

To learn more about the congruent;

https://brainly.com/question/12413243

#SPJ7

اسحب الإجابة الصحيحة إلى مكانها المناسب.
سر سعيد 5 كيلوجراما من وزنه خلال 4 أسابيع ، فكم كيلوجراما خير في الأسبوع الواحد؟

Answers

Mstwa do you know the meaning of this
انا مش وطني بس رح احاول 5تقسيم 7 لان عدد اليام الاسبوع 7 الجواب 0.71

PLEASE HELP! I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY! :D PLS ANSWER I AM SOOOOOO CONFUSED!

Answers

Answer/Step-by-step explanation:

7. The graph is a proportional relationship because the line passes through the point of origin, (0, 0). To find the equation the proportional relationship the graph represents, we need to find the unit rate of red paint (y) to white paint (x). The unit rate will represent the constant of proportionality, k. Then substitute the value of k in [tex] y = kx [/tex].

Unit rate or k = y/x

Using the point, (4, 1),

k = [tex] \frac{1}{4} [/tex]

Substitute k = ¼ in [tex] y = kx [/tex]

✅The equation would be:

[tex] y = \frac{1}{4}x [/tex]

8. The graph Franco made is incorrect.

The equation, [tex] y = -x [/tex], shows a negative constant of proportionality of -1. Therefore, the slope of the line descend downwards, from the left to the right. So, the graph Franco made to represent the equation, [tex] y = -x [/tex] is not correct.

9. a. Proportional relationship can be represented as [tex] y = kx [/tex]. To derive an equation that represents the graph, find k, the constant of proportionality between variable y and x.

Using the point, (2, 24), therefore:

k = y/x = 24/2 = 12.

Substitute k = 12 in [tex] y = kx [/tex]

✅The equation would be:

[tex] y = 12x [/tex]

b. We know an equation is represents a proportional relationship, when it is tales the form, [tex] y = kx [/tex]. Where k is the constant of proportionality. Thus, for if you substitute the pair of values given (x, y) into the equation, you would get the same value of k for any pair of value you substitute in the given set of values.

Also, we know a graph represents a proportional relationship when a straight line passes through the point of origin, (0, 0), and has a constant of proportionality or unit rate all through.

Complete the statement. Explain your
reasoning
7
3
26
8 4 15 C

Answers

Answer:

132 degree

Step-by-step explanation:

a and b are parallel and c is a transversal

so 2 and 3 are interior and they both equal 180

so 3 = 180-48= 132

Answer:

m<3=138

Step-by-step explanation:

m<2=42

m<1=m<3

180-42=138

m<1=138 m<3=138

m<1 and m<3 are alternate interior angles

. A sample of 250 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution is relatively normal, how many cans will weigh over 14.7 ounces?

Answers

Answer:

40 cans weigh over 14.7 ounces

Step-by-step explanation:

Given

Mean = 14 ounces

SD = 0.7

We have to find the z-score for 14.7 first

[tex]z = \frac{14.7-14}{0.7}\\z = \frac{0.7}{0.7} = 1[/tex]

As we have to find the number of cans greater than 14.7, forst we will find the area to the left of obtained z-score and then subtract from 1.

So,

P(z<1) = 0.8413

Now,

P(z>1) = 1 - P(z<1) = 1-0.8413 = 0.1587

As the total number of cans is 250,

The cans which weigh over 14.7 are:

= 0.1587 * 250

= 39.675

Rounding off to nearest whole number

40 cans

Hence,

40 cans weigh over 14.7 ounces

Answer:

40 cans

Step-by-step explanation:

round your final answer to get 40

3 pound pork lion can be cut into 10 pork shots of equal weight how many ounces in each pork shop

Answers

4.8 ounces in each. Hope this helps!

Answer:caca

Step-by-step explanation:

poop

graph the image of S (7, 8) after a reflection over the x-axis

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate. Points that were above the axis are reflected to be the same distance below the axis.

A machinr in a factory produces 600 units each hour. How many units does the machine produce per minute?

Answers

Answer:

10 units

Step-by-step explanation:

600 units= 1 hour

1 hour= 60 minutes

600 units= 60 minutes

1 minute=600/60

1 minutes =10 units

Hope this helped! :)

HELP MEEEEEEEEEEEE WILL GIBE BRAINLISTTTTTTT

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is C, 2/9

Step-by-step explanation:

Since there 18 marbles in total and 4 blue marbles, that makes the probability 4/18. Although, 4/18 has to be simplified, which is 2/9

In a study, a random sample of 2625 US adults were asked whether they agree or disagree that there is "only one true love for each person." The response and gender of the participants is shown in Table 1.


Male Female Total

Agree 372 363 735

Disagree 807 1005 1812

Don't know 34 44 78

Total 1213 1412 2625


Table 1 Is there only one true love for each person?


(a) Use the information in the table to construct a confidence interval for the difference in the proportion who agree, between males and females, using the fact that the standard error for the difference is .


Round your answers to three decimal places.


The 95% confidence interval is

to

.


(b) Is it plausible that there is no difference between males and females in the proportion who agree that each person has only one true love?

Answers

Using the information given, it is found that:

a.

The standard error for the difference is of 0.0176.

The 95% confidence interval is 0.0151 to 0.0841.

b.

Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.

What is the distribution of differences for the proportion of males and females?

For males, we have that:

[tex]n = 1213, p_M = \frac{372}{1213} = 0.3067, s_M = \sqrt{\frac{0.3067(0.6933)}{1213}} = 0.01324[/tex]

For females, we have that:

[tex]n = 1412, p_F = \frac{363}{1412} = 0.2571, s_F = \sqrt{\frac{0.2571(0.7429)}{1412}} = 0.01163[/tex]

The distribution of differences has mean and standard error given by:

[tex]p = p_M - p_F = 0.3067 - 0.2571 = 0.0496[/tex]

[tex]s = \sqrt{s_M^2 + s_F^2} = \sqrt{0.01324^2 + 0.01163^2} = 0.0176[/tex]

What is the confidence interval?

It is given by:

[tex]p \pm zs[/tex]

z is the critical value, which considering that there is a 95% confidence level, it is of z = 1.96.

Then:

[tex]p - zs = 0.0496 - 1.96(0.0176) = 0.0151[/tex]

[tex]p + zs = 0.0496 + 1.96(0.0176) = 0.0841[/tex]

The 95% confidence interval is 0.0151 to 0.0841.

Item b:

Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.

More can be learned about confidence intervals at https://brainly.com/question/16162795

Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?

Answers

Answer:

$22.5

Step-by-step explanation:

multiply 900 by .025 to get 22.5.

When you multiply by a percentage to find an ammount, move the decimal place over to the left by 2 places and then multiply by the number (in this case 900). Whatever number you recieve is the answer.

The total commission Tyler's brother was earn is $22.5 and this can be determined by using the unitary method.

Given :

Tyler’s brother earns a commission. He makes 2.5% of the amount he sells.Last week, he sold $900 worth of shoes.

The following steps can be used in order to determine the total commission Tyler's brother was earn:

Step 1 - The unitary method can be used in order to determine the total commission Tyler's brother was earn.

Step 2 - According to the given data, he sold $900 worth of shoes which is 100% value.

Step 3 - If 100% is $900 then the value of 2.5% is:

[tex]=\dfrac{2.5}{100}\times 900[/tex]

Step 4 - Simplify the above expression.

= $22.5

For more information, refer to the link given below:

https://brainly.com/question/11897796

Each of the four sets a1, a2, a3, and a4 contains four elements. the intersection of every i of these four sets (2 < i < 4) consisters of 5 - i elements. What is a1 U a2 U a3 U a4?

Answers

Answer:

the new year was patrick's year and the second time she had the target audience in her career as an 34696468 )/684₩¥€=÷×+)^^*,?^&££)ktuioon

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