How do you find the distance between the points (-12,-8), (3,11)?

Question

1254 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-27T23:27:00

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)(-12))^2 + (color(red)(11) - color(blue)(-8))^2)#

#d = sqrt((color(red)(3) + color(blue)(12))^2 + (color(red)(11) + color(blue)(8))^2)#

#d = sqrt(15^2 + 19^2)#

#d = sqrt(225 + 361)#

#d = sqrt(586) = 24.207# rounded to the nearest thousandth.

The distance between the two points is #sqrt(586)# or #24.207# rounded to the nearest thousandth.