What is the distance between #(15,-4)# and #(12,14)#?

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Answer 1 · 2018-03-03T21:12:14

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)(12) - color(blue)(15))^2 + (color(red)(14) - color(blue)(-4))^2)#

#d = sqrt((color(red)(12) - color(blue)(15))^2 + (color(red)(14) + color(blue)(4))^2)#

#d = sqrt((-3)^2 + 18^2)#

#d = sqrt((9 + 324)#

#d = sqrt(333)#

#d = sqrt(9 xx 37)#

#d = sqrt(9)sqrt(37)#

#d = 3sqrt(37)#