What is the distance between #(-1,101)# and #(-2,103)#?

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Answer 1 · 2017-05-30T13:55:24

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)(-1))^2 + (color(red)(103) - color(blue)(101))^2)#

#d = sqrt((color(red)(-2) + color(blue)(1))^2 + (color(red)(103) - color(blue)(101))^2)#

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

#d = sqrt(1 + 4)#

#d = sqrt(5)#

Or

#d = 2.236# rounded to the nearest thousandth.