Question

What is the distance between `(-2,11)` and `(-11,15)`?

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)(-11) - color(blue)(-2))^2 + (color(red)(15) - color(blue)(11))^2)`

`d = sqrt((color(red)(-11) + color(blue)(2))^2 + (color(red)(15) - color(blue)(11))^2)`

`d = sqrt((-9)^2 + 4^2)`

`d = sqrt(81 + 16)`

`d = sqrt(97)`

`d = 9.849` rounded to the nearest thousandth.