Question

The midpoint of UV is (5,-11). One of the coordinates are U(3,5). Find V

Answer 1

\[\text{ the midpoint of the line segment from point } (a,b) \text{ \to } (c,d) \text{ is } \\ (\frac{a+c}{2},\frac{b+d}{2})\]

Answer 2

you are given:
\[\frac{3+c}{2} =5 \text{ and } \frac{5+d}{2}=-11\]

Answer 3

where (c,d) is point V

Answer 4

Would I have to plug something into the formula? How would the end result look

Answer 5

do you know how to solve equations yet?

Answer 6

maybe not... I guess since you are asking how to solve (3+c)/2=5 and also solve (5+d)/2=-11

Answer 7

the first I would do would be to multiply both sides by 2

Answer 8

for both equations

Answer 9

Ok so that would give 5+d=-22?

Answer 10

yes for the second equation you have d+5=-22

Answer 11

and then 3+c=10

Answer 12

do you the +5 on the side with d on it
you are going to minus 5 on both sides
because you know 5-5=0 so you will have d by itself

Answer 13

and that is right for the first equation so far

Answer 14

And then you do the same to the other one too?

Answer 15

well not subtract 5 on both sides
but subtract 3 on both sides yes

Answer 16

So d=-27 and c=7?

Answer 17

ok great now remember (c,d) is the point V
so your answer would be (7,-27) is the other endpoint V

Answer 18

so the midpoint of (7,-27) and (3,5) is
\[(\frac{3+7}{2},\frac{-27+5}{2})=(\frac{10}{2},\frac{-22}{2})=(5,-11)\]

Answer 19

Ok great I get it now

Answer 20

cool stuff
have a good day :)

Answer 21

Thank you very much for your help! My sister doesn't know how to do this, thank you

Answer 22

well go teach her then

Answer 23

Ok i will now