What is the distance of (-5,2) and (-2,-6)?

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Answer 1 · 2016-12-24T16:21:01

#d = sqrt(73)#

or

#d = 8.544# rounded to the nearest thousandth

The formula for calculating the distance between two points is:

#color(red)(d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2))#

Substituting the two points we are given in this problem gives us:

#d = sqrt((-2 - -5)^2 + (-6 - 2)^2)#

#d = sqrt((-2 + 5)^2 + (-6 - 2)^2)#

#d = sqrt((3)^2 + (-8)^2)#

#d = sqrt(9 + 64)#

#d = sqrt(73)#

#d = 8.544#