vivi72
vivi72 vivi72
  • 17-01-2019
  • Mathematics
contestada

What is the midpoint and distance between points P(3,5) and Q(7,5)

Respuesta :

gmany
gmany gmany
  • 24-01-2019

The formula of a midpoint:

[tex]M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)[/tex]

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points P(3, 5) and Q(7, 5). Substitute:

[tex]x=\dfrac{3+7}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{5+5}{2}=\dfrac{10}{2}=5[/tex]

M(5, 5)

[tex]d=\sqrt{(5-5)^2+(7-3)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4[/tex]

Answer:

Midpoint = (5, 5)

Distance = 4

Answer Link

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