What is the distance between #(5, 6) # and #(-2, 4)#?

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Answer 1 · 2018-03-28T00:31:50

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)(5))^2 + (color(red)(4) - color(blue)(6))^2)#

#d = sqrt((-7)^2 + (-2)^2)#

#d = sqrt(49 + 4)#

#d = sqrt(53)#

Or

#d ~= 7.28#