What is the distance between #(3,-25)# and #(2,-12)#?

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Answer 1 · 2017-08-31T12:32:25

See a 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)(3))^2 + (color(red)(-12) - color(blue)(-25))^2)#

#d = sqrt((color(red)(2) - color(blue)(3))^2 + (color(red)(-12) + color(blue)(25))^2)#

#d = sqrt((-1)^2 + 13^2)#

#d = sqrt(1 + 169)#

#d = sqrt(170)#

#d = 13.038# rounded to the nearest thousandth.