Question

What is the distance between `(-12,4)` and `(9,3`?

Answer 1

See a solution process below:

Explanation:

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)(9) - color(blue)(-12))^2 + (color(red)(3) - color(blue)(4))^2)`

`d = sqrt((color(red)(9) + color(blue)(12))^2 + (color(red)(3) - color(blue)(4))^2)`

`d = sqrt(21^2 + (-1)^2)`

`d = sqrt(441 + 1)`

`d = sqrt(442)`

Or

`d ~= 21.024`