What is the distance of the A(-2,1) and B(5,3)?

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Answer 1 · 2017-03-07T14:59:25

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)(5) - color(blue)(-2))^2 + (color(red)(3) - color(blue)(1))^2)#

#d = sqrt((color(red)(5) + color(blue)(2))^2 + (color(red)(3) - color(blue)(1))^2)#

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

#d = sqrt(49 + 4)#

#d = sqrt(53) = 7.280#

The distance is #sqrt(53)# or #7.280# rounded to the nearest thousandth