bdog5
bdog5 bdog5
  • 16-01-2020
  • Mathematics
contestada

WE has endpoints at
W(10, 2) and E(5, -3).
How long is WE?​

Respuesta :

sam4040
sam4040 sam4040
  • 24-01-2020

Answer:

[tex]WE=5\sqrt{2}[/tex]

Step-by-step explanation:

Distance between two points:

The distance between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by[tex]=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex]

Hence distance between [tex]W(10,2)[/tex] and [tex]E(5,-3)[/tex]

[tex]WE=\sqrt{(5-10)^2+(-3-2)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}\\\\WE=\sqrt{50}=5\sqrt{2}[/tex]

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