Question

What is the exact distance between A (-5, 10) and B (1, 15)

Answer 1

`√(61)`

Explanation:

distance formula =
`\sqrt{(x2-x1)^(2)+(y2-y1)^(2) }`

Our 2 points:

(-5,10)

(1,15)

=
`\sqrt{(-5-1)^(2)+(10-15)^(2)}`

=
`\sqrt{(-6)^(2)+(-5)^(2)}`

=
`√(36+25)`

=
`√(61)`

So I'm guessing your professor doesn't want any rounding bc it says EXACT distance.

61 is a prime number so we can't simplify it any further. So that would be the final answer. This is approx 7.81.

Answer 2

Length formula should be used here, so the answer is square root 61

Working is attached as a photo