Question

The midpoint of uv is (5 -11). the coordinates of one endpoint are u(3 5) find the coordinates of endpoint v. I really need help asap! i have to put this in today..

Please and thank you!

Answer 1

let the other endpoint be (x,y)

I will find the x, then you find the y using the same method.

for the x:
(x+3)/2 = 5
x+3 = 10
x = 7

for the y:
......

Answer 2

I don't know... i don't get it..

Answer 3

the midpoint is just the average of the two endpoints.

Play around with a few numbers, and you will see that this is true.

Think of it this way.

You start at a, and b is halfway to c.

That is, (b-a) = (c-b)

The midpoint b can then be found:

b-a = c-b
2b = a+c
b = (a+c)/2

That's Reiny's method. Use that equation to find c.

Or, if you want to find c, then you can use

b-a = c-b
c = 2b-a
c = 2*5 - 3 = 7

Answer 4

haha i know lol

Answer 5

The answer is (7,-27)

Answer 6

yes but how?

Answer 7

(5,-11)=(3+x/2),(5+y/2)
5=3+x/2
Multiply each side by 2 and simplify.
-11=5+x/2
Multiply each side by 2 and simplify.

Answer 8

there are two ways to solve.
the x value on point u is two away from the x value on the midpoint. two away from 5 is 7 so point v's x value is 7. the y value on u is 6 away from the y value on the midpoint. 6 away from 11 is 17 so v's y value is 17. v = (7 , 17)
the midpoint = (x1 + x2 / 2) + (y1 + y2 / 2)
(3 + x / 2) = 5
2 * (3 + x / 2) = 5 * 2 (this cancels put the /2 in the beginning of the problem)
(3 + x) = 10
-3 -3
x = 7
(5 + y / 2) = 11
multiply both sides by 2 again
(5 + y) = 22
subtract both sides by 5
y = 17

Answer 9

@Beans can u put this into all numbers or all words??

Answer 10

calculatorsoup

if you put your cordinates in the calculator it breaks it down step by step and gives you the answer