Question

Do it in two minutes right now

Answer 1

so the coordinates of C are (12,29)

Explanation:

as we know that CD is a line segment and M is its mid-point in order to find the coordinates of C we will use mid-point formula

`M(x,y)=((x1+x2)/(2),(y1+y2)/(2))`

putting the values of known coordinates

`(15,-6.5)=((x1+18)/(2),(y1+(-16))/(2))`

comparing the coordinates separately

`15=(x1+18)/(2)` and
`-6.5=(y1-16)/(2)`

15×2=x1+18 and -6.5×2=y1-16

30=x1+18 and 13=y1-16

30-18=x1 and 13+16=y1

12=x1 and 29=y1

so the coordinates of C are (12,29)

in order to check the values put it back in the mid-point formula to find the coordinates of M

I HOPE THIS WILL HELP YOU :)

Answer 2

Explanation: