nessa4913
nessa4913 nessa4913
  • 10-07-2019
  • Mathematics
contestada

19. What are the coordinates of the midpoint
of the segment with endpoints at (-3, 9) and
(10, 18)?

Respuesta :

gmany
gmany gmany
  • 17-07-2019

Answer:

[tex]\large\boxed{\left(\dfrac{7}{2},\ \dfrac{27}{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 (-3, 9) and (10, 18).

Substitute:

[tex]M(x,\ y)\\\\x=\dfrac{-3+10}{2}=\dfrac{7}{2}\\\\y=\dfrac{9+18}{2}=\dfrac{27}{2}[/tex]

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