All categories

2 years ago

If the endpoint is (3/2, 1 1/2), and the midpoint is (2/5, -8/5) what is the other endpoint

Mathematics

2 answers:

Tresset [83]2 years ago

6 0

The other endpoint is (-11/10, -71/10)

alukav5142 [94]2 years ago

5 0

Answer:

The answer to your question is ( -7/10, -4 7/10)

Step-by-step explanation:

Data

Enpoint (3/2, 1 1/2) x1 = 3/2 y1 = 1 1/2

Midpoint (2/5, -8/5) xm = 2/5 ym = -8/5

Entpoint 2 ( x, y)

Formula

Xm = (x1 + x2)/2 Solve for x2 x2 = 2xm - x1

Ym = (y1 + y2)/2 Solve for y2 y2 = 2ym - y1

Substitution

x2 = 2(2/5) - 3/2

x2 = 4/5 - 3/2

x2 = (8 - 15)/10

x2 = -7/10

y2 = 2(-8/5) - 1 1/2

y2 = -16/5 - 3/2

y2 = (-32 - 15) / 10

y2 = -47/10 = -4 7/10

You might be interested in

Resolute academy algebra 1

zzz [600]

Answer:

C. 2(x + 10)(x - 10)

Step-by-step explanation:

$2x^2-200\\2(x^2-100)\\2(x+10)(x-10)$

7 0

2 years ago

A grade has 81 girls and 72 boys. The grade is spilt into groups that have the same ratio of boys to girls as the whole grade. H

MariettaO [177]

There are 81 girls to every 72 boys in total, which can be represented by 81/72, which put into decimal form, is 1.125. If you then take the number of boys in the group, 16, and multiply it by this number (because the problem states that the ratio is constant) you can find the number of girls in the group.

16*1.125=18

So there are 18 girls in a group with 16 boys.

4 0

3 years ago

Read 2 more answers

On a standardized exam, the scores are normally distributed with a mean of 145 and a standard deviation of 25. Find the z-score

Kryger [21]

Answer:

z = 2.6

Step-by-step explanation:

<u>Use the formula for z-score</u>

$z=\frac{x-\mu}{\sigma}\\ \\z=\frac{210-145}{25}\\ \\z=\frac{65}{25}\\ \\z=2.6$

This tells us that this person's score of 210 places them 2.6 standard deviations above the mean

5 0

2 years ago

Admission for a water park is 17.50$ per day a seson pass cost 125$. How many days must you go to the water park to make buying

Lemur [1.5K]

(17.5)(x)=125

Divide each side by 17.5 leaving the equation as x=7.14

6 0

2 years ago

Read 2 more answers

Assume that we want to find the probability that when five consumers are randomly selected, exactly two of them are comfortable

Rudiy27

From the given data, the value of N is equal to 5, The value of X is equal to 2. Since 38% of the consumers are comfortable with drone, this makes the value of P equal to 0.38. And now using the equation to find Q = 1 - P, where P is 0.38, we now get 1 - 0.38, therefore Q = 0.62. To summarize, N =5; X = 2; P = 0.38; Q = 0.62

3 0

2 years ago