How do you find the distance between $(- 9,- 9)$ and $( - 54,191)$ ?

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Answer 1 · 2017-10-01T14:40:59

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:

$d = sqrt((color(red)(-54) - color(blue)(-9))^2 + (color(red)(191) - color(blue)(-9))^2)$

$d = sqrt((color(red)(-54) + color(blue)(9))^2 + (color(red)(191) + color(blue)(9))^2)$

$d = sqrt((-45)^2 + 20^2)$

$d = sqrt(2025 + 400)$

$d = sqrt(2425)$

$d = sqrt(25 * 97)$

$d = sqrt(25)sqrt(97)$

$d = 5sqrt(97)$

If a single number is needed:

$d = 49.244$ rounded to the nearest thousandth

How do you find the distance between (- 9,- 9)(- 9,- 9) and ( - 54,191)( - 54,191)?