Question

Another refresher please. The Midpoint of AC is (-4,16). The coordinates of one endpoint are A(-2,11). Find the coordinates of endpoint C.

Answer 1

Let C be the point (x,y)

Answer 2

To get the midpoint of AC, you need to average the corresponding coordinates.

So that means we have these two equations

(-2+x)/2 = -4
(11+y)/2 = 16

the first equation is for the x coordinate of the midpoint, the second is for the y coordinate of the midpoint

Answer 3

What do you get when you solve (-2+x)/2 = -4 ?

Answer 4

i dont understand how to solve that

Answer 5

(-2+x)/2 = -4

-2+x = -4*2 ... Multiply both sides by 2.

-2+x = -8

x - 2 = -8

x = ???

Answer 6

-6

Answer 7

yes

Answer 8

now solve (11+y)/2 = 16

Answer 9

y=21

Answer 10

so C is the point (-6, 21)

Answer 11

thank uu. do uu think you could help me with another geometry question

Answer 12

sure, I can help with one more

Answer 13

Find the distance between points A(-5,7) and B(6,-11) to the nearest tenth.

Answer 14

do you know the distance formula?

Answer 15

yes

Answer 16

how far did you get with this formula?

Answer 17

till the part where d is solved

Answer 18

i got lost where -11-7 = -18. do i keep the + or keep the -?

Answer 19

it doesn't matter because when you square -18, you get a positive number

Answer 20

i got -324 when i squared it though

Answer 21

you should get +324 not -324

Answer 22

(-18)^2 = (-18)*(-18) = 324

Answer 23

say what now

Answer 24

yeah that's what it means to square a number: you multiply a number by itself

Answer 25

I knew that but what you had put down confused me. d=17.6

Answer 26

oh this was confusing? (-18)^2 = (-18)*(-18) = 324

Answer 27

yes

Answer 28

which part is confusing?

Answer 29

just the way it is setup on the computer. Im not use to seeing it like that

Answer 30

oh probably the ^ symbol huh?

Answer 31

no i know what that indicates. but anywhooo. i got d=17.5

Answer 32

17.5 is incorrect

Answer 33

you should also have 6 - (-5) = 6 + 5 = 11

square that to get 11^2 = 121

Answer 34

You then add up the squares: 324 + 121 = 445

and take the square root: sqrt( 445 ) = 21.095

that rounds to 21.1

Answer 35

i had that as my original answer but then i it all in my calculator at one time and yeah it gave me that. but now i see how it isnt

Answer 36

can you write out how you got 17.5? I'm still not sure how you got that.

Answer 37

input (6-(-5))^2 + (-11-7)2 and it gets 305
then square root 305
getting 17.46 rounded is 17.5

Answer 38

odd how it is saying 305 when it should be 445

Answer 39

(6-(-5))^2 + (-11-7)^2 = 445

Answer 40

i dont know either,