Question

What is the distance between `(4, 4)` and # (-4, 11) #?

Answer 1

`sqrt{113}`

Explanation:

Distance Formula:
`sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}`

It doesn't matter what you denote as `x_1` or `x_2`, but you must know that they are the x-coordinates. The same thing goes for the y-coordinates too.

`sqrt{(-4 - 4)^2 + (11 - 4)^2}`

=`sqrt{(-8)^2 + (7)^2}`

=`sqrt{64 + 49}`

=`sqrt{113}`