How do you find the distance between (-10,8) and (2,-3)?

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Answer 1 · 2017-04-07T13:24:42

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)(2) - color(blue)(-10))^2 + (color(red)(-3) - color(blue)(8))^2)#

#d = sqrt((color(red)(2) + color(blue)(10))^2 + (color(red)(-3) - color(blue)(8))^2)#

#d = sqrt(12^2 + (-11)^2)#

#d = sqrt(144 + 121)#

#d = sqrt(265) = 16.279# rounded to the nearest thousandth.