What is the distance between #(1,-6) # and # (4, 7) #?

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Answer 1 · 2018-03-27T23:08:27

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)(4) - color(blue)(1))^2 + (color(red)(7) - color(blue)(-6))^2)#

#d = sqrt((color(red)(4) - color(blue)(1))^2 + (color(red)(7) + color(blue)(6))^2)#

#d = sqrt(3^2 + 13^2)#

#d = sqrt(9 + 169)#

#d = sqrt(178)#

Or

#d ~= 13.342#