Question

Pls answer its 2 in the morning I’m tryna get sleeppp
4
Mis the midpoint of CD. Given
the coordinates of one endpoint
C(10,-5) and the midpoint
M(4,0), find the coordinates of
the other endpoint D of CD.
a) (7.)
b) (-2)
c) (-2,5)
d) (7,5)
e) (1,1)

Answer 1

Answer:

(-2,5)

Step-by-step explanation:

use formula: m= ($\frac{x^{1}+x^{2} }{2} , \frac{y^{1}+y^{2} }{2}$)

midpoint(m) equals (4,0) and C is (10,-5)

C represents $(x^{1} ,y^{1})$ and other endpoint D represents $(x^{2}, y^{2} )$ so:

(4,0) = $(\frac{10+x^{2} }{2} , \frac{-5+y^{2} }{2} )$                  

4 = $\frac{10+x^{2} }{2}$

$4*2 = (\frac{10+x^{2} }{2} )2$      Get rid of 2 by multiplying both sides by 2

8 = $10 + x^{2}$               Subtract both sides by 10

$x^{2} = -2$                x coordinate of D = -2

To find y coordinate of D:

0 = $\frac{-5+y^{2} }{2}$                    Get rid of 2 by multiply both sides by 2

0 = $-5 + y^{2}$                    Add both sides by 5

$y^{2} = 5$                          y coordinate of D = 5

So if x-coordinate of D= -2 and y-coordinate of D=5, the coordinates for D is (-2,5)