Question

What is the distance between `(-9,2)` and `(12,-8)`?

Answer 1

The distance is `sqrt541` or `~~23.26`

Explanation:

The distance between two points is shown by the formula:
`d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)`

We have the values for the two coordinates, so we can substitute them into the distance formula:
`d = sqrt((-8-2)^2 + (12-(-9))^2)`

And now we simplify:
`d = sqrt((-10)^2 + (21)^2)`

`d = sqrt(100 + 441)`

`d = sqrt(541)`

If you want the exact distance, you can leave it as `sqrt541`, but if you want it in decimal form, it is `~~23.26` (rounded to nearest hundredth's place).

Hope this helps!