What is the distance between #(-4,-19)# and #(1,-12)#?

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Answer 1 · 2016-12-18T19:11:44

The distance between the points is #sqrt(74)#

or

#8.6# rounded to the nearest 10th.

The formula for calculating the distance between two points is:

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

Substituting the points from the problem gives:

#d = sqrt((1 - -4)^2 + (-12 - -19)^2)#

#d = sqrt((1 + 4)^2 + (-12 + 19)^2)#

#d = sqrt(5^2 + 7^2)#

#d = sqrt(25 + 49)#

#d = sqrt(74)#