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)))

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- anonymous

- anonymous

explain it too please.

- anonymous

will medal and fan.

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## More answers

- freckles

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

- freckles

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

- Defiance

Would help but seems freckles has it ;).

- freckles

solve the equations

- freckles

I forgot to make the word endpoint plural oh well

- anonymous

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

- freckles

did you read the descriptions above?

- freckles

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

- freckles

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

- freckles

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

- anonymous

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

- freckles

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.

- anonymous

theyre numbers on a graph tho so I dont get it

- freckles

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

- anonymous

Youre saying the answer is 5?

- anonymous

Im really bad at this kinda stuff

- freckles

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

- freckles

you are looking for the point (x,y)

- anonymous

so the x cord is 5?

- freckles

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.

- freckles

how did you x is 5?

- anonymous

so its (5, -11) ?

- freckles

the midpoint is not what we are looking for

- freckles

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

- anonymous

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

- freckles

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

- freckles

all i did there was apply the average thing I mentioned

- anonymous

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

- freckles

because that is all the midpoint is is averaging

- freckles

you solve for x and y

- freckles

multiply both sides by 2

- anonymous

so its 3 and 12.5?

- freckles

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

- anonymous

I did then divided them

- freckles

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

- anonymous

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

- freckles

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

- anonymous

it would just be x over 2 ....

- freckles

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?

- freckles

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

- freckles

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

- anonymous

my computer stopped working but can you just tell me it

- anonymous

Ive spent over an hour on one problem...

- anonymous

- anonymous

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

- anonymous

- anonymous

please...

- Vocaloid

start with the x-coordinates
(x+3)/2 = 5
solve for x

- anonymous

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...

- Vocaloid

start by multiplying both sides by 2
(x+3)/2 * 2 = ?

- anonymous

4

- Vocaloid

nope, not quite...
hint:
A/2*2 = A
(x+3)/2*2 = ?

- anonymous

2*2 is 4

- Vocaloid

does this make it more clear?|dw:1443724308435:dw|

- anonymous

I DONT KNOW WHAT THIS MEANS AHHHHHH

- Vocaloid

just follow the pattern|dw:1443724350579:dw|

- anonymous

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...

- anonymous

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