How do you find the distance between (7,5) and (-12,-1)?

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Answer 1 · 2017-03-22T21:15:03

See the entire solution process below:

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)#

Substituting the values from the points in the problem gives:

#d = sqrt((color(red)(-12) - color(blue)(7))^2 + (color(red)(-1) - color(blue)(5))^2)#

#d = sqrt((-19)^2 + (-6)^2)#

#d = sqrt(361 + 36)#

#d = sqrt(397) = 19.925# Rounded to the nearest hundredth.