hillaryhernandez57 hillaryhernandez57
  • 16-07-2019
  • Mathematics
contestada

What is the midpoint of CD?
5
4
-3
-2
-1, 1
1
2
3
4
5 x
D(4,-1)
C(-3,-4)

Respuesta :

gmany
gmany gmany
  • 17-07-2019

Answer:

[tex]\large\boxed{M_{CD}\left(\dfrac{1}{2},\ -\dfrac{5}{2}\right)}[/tex]

Step-by-step explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

[tex]M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have the points C(-3, -4) and D(4, -1).

Substitute:

[tex]M_{CD}(x,\ y)\\\\x=\dfrac{-3+4}{2}=\dfrac{1}{2}\\\\y=\dfrac{-4+(-1)}{2}=\dfrac{-5}{2}=-\dfrac{5}{2}[/tex]

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