What is the distance between #(-2,11)# and #(-11,15)#?

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Answer 1 · 2017-06-02T21:06:26

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)(-11) - color(blue)(-2))^2 + (color(red)(15) - color(blue)(11))^2)#

#d = sqrt((color(red)(-11) + color(blue)(2))^2 + (color(red)(15) - color(blue)(11))^2)#

#d = sqrt((-9)^2 + 4^2)#

#d = sqrt(81 + 16)#

#d = sqrt(97)#

#d = 9.849# rounded to the nearest thousandth.