## anonymous one year ago Explain how you get the answer PLease, i know how to get it and i know the process i just keep getting the wrong answer

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1. anonymous

The Midpoint UV is (5, -11). The coordinates of one endpoint are U(3,5). What is the coordinate of the endpoin V.

2. Nnesha

the formula for midpoint is $\huge\rm (\frac{ x_1+x_2 }{ 2 } , \frac{ y_1+y_2 }{ 2 })$given is (x_1 ,y_1) order pair and midpoint (x,y) we can separate both x's and y's $\large\rm \frac{ x_1+x_2 }{ 2 }=(x-coordinate ~of~midpoint)$ $\large\rm \frac{ y_1 +y_2 }{ 2 }=(y-coordinate ~of ~midpoint)$ replace (x_1 ,y_1) with the given end point

3. anonymous

So would x_1 and y_1 be the midpoint and x_2 and y_2 the endpoint or the other way around?

4. Nnesha

no (x_1 ,y_1) is the endpoint (3,5)

5. Nnesha

you have to solve for x_2 and y_2

6. anonymous

Oh! Okay

7. Nnesha

like to find x-coordinate of 2nd endpoint $\large\rm \frac{ x_1+x_2 }{ 2 }=(x-coordinate ~of~midpoint)$ $\large\rm \frac{ 3+x_2 }{ 2 }=5$ now solve for x_2

8. anonymous

7?

9. Nnesha

yes right you can check your work $\frac{ 3+7 }{ 2 }$ if you get 5 then yes ofc it's right bec the midpoint (5,-11) is given

10. anonymous

so what would the other endpoint be?

11. Nnesha

we got the x-coordinate now find y-coordinate

12. Nnesha

$\large\rm \frac{ y_1 +y_2 }{ 2 }=(y-coordinate ~of ~midpoint)$

13. anonymous

5+y_2/2=-11?

14. Nnesha

yes right!

15. anonymous

-27?

16. Nnesha

yes right

17. anonymous

so 7, -27?

18. Nnesha

yep

19. anonymous

Thank you so much!

20. Nnesha

np :=) just an advice the drawing in ur pfp is really good you should post that in design if youdrw that pic

21. anonymous

Thank you hahah