olivialynnexoxoyhhhj
olivialynnexoxoyhhhj olivialynnexoxoyhhhj
  • 13-06-2018
  • Mathematics
contestada

what is the approximate distance between the points (-2, 3, -5) and (2, -7, 4)?

A. 14

B. 23

C. 11

D. 17

Respuesta :

gmany
gmany gmany
  • 04-07-2018
[tex]\text{The formula of a distance between two points}\\\\A(x_A;\ y_A;\ z_A);\ B(x_B;\ y_B;\ z_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2+(z_B-z_A)^2}\\\\\text{We have}\ A(-2;\ 3;\ -5);\ B(2;\ -7;\ 4)\\\\\text{substitute}\\\\|AB|=\sqrt{(2-(-2))^2+(-7-3)^2+(4-(-5))^2}\\\\=\sqrt{4^2+(-10)^2+9^2}=\sqrt{16+100+81}=\sqrt{197}\approx14\\\\\text{Answer:}\ A.\ 14[/tex]
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