What is the distance between #(–10, –2, 2)# and #(4, –4, –2)#?

1 Answer
Apr 8, 2017

Answer:

See the entire solution process below:

Explanation:

From https://www.mathsisfun.com/definitions/monomial.html

The formula for calculating the distance between two points is:

#d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2 + (color(red)(z_2) - color(blue)(z_1))^2)#

Substituting the values from the points in the problem gives:

#d = sqrt((color(red)(4) - color(blue)(-10))^2 + (color(red)(-4) - color(blue)(-2))^2 + (color(red)(-2) - color(blue)(2))^2)#

#d = sqrt((color(red)(4) + color(blue)(10))^2 + (color(red)(-4) + color(blue)(2))^2 + (color(red)(-2) - color(blue)(2))^2)#

#d = sqrt(14^2 + (-2)^2 + (-4)^2)#

#d = sqrt(196 + 4 + 16)#

#d = sqrt(216) = 14.697# rounded to the nearest thousandth.