What is the distance between #(-12,-4)# and #(-10,15)#?

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Answer 1 · 2018-03-04T17:46:06

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)(-10) - color(blue)(-12))^2 + (color(red)(15) - color(blue)(-4))^2)#

#d = sqrt((color(red)(-10) + color(blue)(12))^2 + (color(red)(15) + color(blue)(4))^2)#

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

#d = sqrt(4 + 361)#

#d = sqrt(365)#

Or

#d = 19.105# rounded to the nearest thousandth