How do you find the distance between points (3,5), (-6,0)?

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Answer 1 · 2017-07-25T16:55:42

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:

$d = sqrt((color(red)(-6) - color(blue)(3))^2 + (color(red)(0) - color(blue)(5))^2)$

$d = sqrt((-9)^2 + (-5)^2)$

$d = sqrt(81 + 25)$

$d = sqrt(106)$

Or

$d = 10.296$ rounded to the nearest thousandth.