Question

What is the distance between `(2,17)` and `(-19,35)`?

Answer 1

The distance is `sqrt613` or `~~24.76`

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((35-17)^2 + (-19-2)^2)`

And now we simplify:
`d = sqrt((18)^2 + (-17)^2)`

`d = sqrt(324 + 289)`

`d = sqrt(613)`

If you want the exact distance, you can leave it as `sqrt613`, but if you want it in decimal form, it is `~~24.76` (rounded to nearest hundredth's place).

Hope this helps!