What is the distance between (6,4) and (-3,5)?

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Answer 1 · 2017-04-22T01:48:40

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:

$d = sqrt((color(red)(-3) - color(blue)(6))^2 + (color(red)(5) - color(blue)(4))^2)$

$d = sqrt((-9)^2 + 1^2)$

$d = sqrt(81 + 1)$

$d = sqrt(82) = 9.055$ rounded to nearest thousandth