How do you find the distance between the points (-3,8), (5,4)?

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Answer 1 · 2017-02-19T14:00:48

The distance between the points is $sqrt(65)$ or $8.062$ rounded to the nearest thousandth.

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:

$d = sqrt((color(red)(4) - color(blue)(-3))^2 + (color(red)(4) - color(blue)(8))^2)$

$d = sqrt((color(red)(4) + color(blue)(3))^2 + (color(red)(4) - color(blue)(8))^2)$

$d = sqrt(7^2 + (-4)^2)$

$d = sqrt(49 + 16)$

$d = sqrt(65) = 8.062$ rounded to the nearest thousandth.