What is the distance between #(-12,4)# and #(9,3#?

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Answer 1 · 2018-03-27T12:25:57

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)(9) - color(blue)(-12))^2 + (color(red)(3) - color(blue)(4))^2)#

#d = sqrt((color(red)(9) + color(blue)(12))^2 + (color(red)(3) - color(blue)(4))^2)#

#d = sqrt(21^2 + (-1)^2)#

#d = sqrt(441 + 1)#

#d = sqrt(442)#

Or

#d ~= 21.024#