What is the distance between #(23,-14)# and #(20,-9)#?

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Answer 1 · 2018-06-22T21:56:47

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)(20) - color(blue)(23))^2 + (color(red)(-9) - color(blue)(-14))^2)#

#d = sqrt((color(red)(20) - color(blue)(23))^2 + (color(red)(-9) + color(blue)(14))^2)#

#d = sqrt((-3)^2 + 5^2)#

#d = sqrt(9 + 25)#

#d = sqrt(34)#

Or, approximately:

#d ~= 5.83#