Question

The midpoint of line UV is (5, -11) The coordinates of one endpoint are U(3, 5) Find the cordinated of endpoint V.

(((PLEASE HELP IVE BEEN STUCK ON THIS FOR 20 MINS)))

Answer 1

@AlexandervonHumboldt2 @I_Luv_Skittles @Defiance @freckles

Answer 2

explain it too please.

Answer 3

will medal and fan.

Answer 4

so the midpoint we need to think averages
the average of two numbers is the sum of those numbers divided by 2

the x coordinate of the midpoint is equal to the sum of the x-coordinates of the endpoint divided by 2

the y coordinate of the midpoint is equal to the sum of the y-coordinates of the endpoint divided by 2

Answer 5

\[5=\frac{3+x}{2} \\ -11=\frac{5+y}{2}\]

Answer 6

Would help but seems freckles has it ;).

Answer 7

solve the equations

Answer 8

I forgot to make the word endpoint plural oh well

Answer 9

what is x??? how do I do 3+x if I dont know what x is where did you get x from??

Answer 10

did you read the descriptions above?

Answer 11

the "x-coordinate of the midpoint" is equal to the "sum of the x-coordinates of the endpoints" "divided by 2"

Answer 12

V is a point in the form (x,y)

Answer 13

the x-coordinate of V is x
the y-coordinate of V is y
since I chose V to be the point (x,y)

Answer 14

I get that now but I dont understand the divison part??? can you just write everything out for me to read please

Answer 15

I'm sorry I thought I did...
Can you tell me what you don't understand?
Like the division?
To find the average of two numbers... You do the sum of those numbers and then you divide 2.

Answer 16

theyre numbers on a graph tho so I dont get it

Answer 17

So if I told you the average of x and 3 is 5 ?
This doesn't make sense how I got this:
\[\frac{x+3}{2}=5?\]

Answer 18

Youre saying the answer is 5?

Answer 19

Im really bad at this kinda stuff

Answer 20

no you are looking for V and V is a point on the cartesian plane

Answer 21

you are looking for the point (x,y)

Answer 22

so the x cord is 5?

Answer 23

you are given by your question the following to find x and y:
The average of x and 3 is 5.
The average of y and 5 is -11.

Answer 24

how did you x is 5?

Answer 25

so its (5, -11) ?

Answer 26

the midpoint is not what we are looking for

Answer 27

I already said we are looking for V , one of the endpoints which I called (x,y)

Answer 28

this is taking so long.. can you just explain everything and help me with the answer

Answer 29

I'm trying too...
so what do you not understand about the following equations:
\[5=\frac{3+x}{2} \\ -11=\frac{5+y}{2}\]

Answer 30

all i did there was apply the average thing I mentioned

Answer 31

how do I add 3 to x and 5 to y..

Answer 32

because that is all the midpoint is is averaging

Answer 33

you solve for x and y

Answer 34

multiply both sides by 2

Answer 35

so its 3 and 12.5?

Answer 36

don't understand how you got that
did you try multiplying both sides of the equation(s) by 2?

Answer 37

I did then divided them

Answer 38

\[5=\frac{3+x}{2} \\ \text{ multiply both sides by 2 } \\ 10=3+x \\ \text{ now isolate } x\]

Answer 39

can you tell me the answer I dont get it my teacher will help me tomorrow

Answer 40

so you don't want to try to subtract 3 on both sides to isolate x?

Answer 41

it would just be x over 2 ....

Answer 42

you do understand
we had 5=(3+x)/2
then I asked you to multiply 2 on both sides giving us
10=3+x
the last step to find the x-coordinate of v is to subtract 3 on both sides
10-3=x
why are you doing something different from what I suggest?

Answer 43

now try solving for y coordinate of V
-11=(5+y)/2

Answer 44

it is the same kind of steps we went through to solve for x

Answer 45

my computer stopped working but can you just tell me it

Answer 46

Ive spent over an hour on one problem...

Answer 47

@freckles

Answer 48

ANYONE PLEASE :( IVE SPENT AN HOUR+ ON THIS QUESTION.... @*louisa* @perii224 @AlexandervonHumboldt2 @mrqueest

Answer 49

@Vocaloid

Answer 50

please...

Answer 51

start with the x-coordinates

(x+3)/2 = 5

solve for x

Answer 52

can you just give me the answer :/ i really dont get it my teacher will help me tomorrow. Ive spent over an hour on this...

Answer 53

start by multiplying both sides by 2

(x+3)/2 * 2 = ?

Answer 54

4

Answer 55

nope, not quite...

hint:

A/2*2 = A
(x+3)/2*2 = ?

Answer 56

2*2 is 4

Answer 57

does this make it more clear?

Answer 58

I DONT KNOW WHAT THIS MEANS AHHHHHH

Answer 59

just follow the pattern

Answer 60

um I dont know what youre talking about can you just tell me it or Ill get it wrong I dont have the time to spend any more time on this one question...

Answer 61

@Vocaloid