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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)#
What is the distance between #(15,-4)# and #(12,14)#?
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#sqrt{113}#
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