How do you find the distance between (-6.8,0.7), (-2.1, -6.2)?

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Answer 1 · 2017-02-10T14:13:40

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 problem and calculating gives:

$d = sqrt((color(red)(-2.1) - color(blue)(-6.8))^2 + (color(red)(-6.2) - color(blue)(0.7))^2)$

$d = sqrt((color(red)(-2.1) + color(blue)(6.8))^2 + (color(red)(-6.2) - color(blue)(0.7))^2)$

$d = sqrt((4.7)^2 + (-6.9)^2)$

$d = sqrt(22.09 + 47.61)$

$d = sqrt(69.7) = 8.349$ rounded to the nearest thousandth