What is the distance between #(1, 6) # and #(9,1)#?

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Answer 1 · 2017-04-04T12:18:08

See the entire 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)(9) - color(blue)(1))^2 + (color(red)(1) - color(blue)(6))^2)#

#d = sqrt(8^2 + (-5)^2)#

#d = sqrt(64 + 25)#

#d = sqrt(89) = 9.434# rounded to the nearest thousandth