Question

Find the distance between the pair of points.
(14, -1) and (-8, - 17)

Answer 1

27.203 -or- √(740)

Explanation:

Plug into square root formula to get

√((−8−14)²+(−17−(−1))²)

simplify

√(740)

Answer 2

`d=27.20` units or
`2√(185)` units

Explanation:

(14, -1) and (-8, - 17)

To find the distance of two points, we use the distance formula:

`d = \sqrt{(x_(2)-x_1)^2 + (y_2-y_1)^2 }`

Let's plug in what we know.

`d = √((-8-14))^2 + (-17-(-1))^2 )`

Evaluate the double negative.

`d = √((-8-14))^2 + (-17+1)^2 )`

Evaluate the parentheses.

`d = √((-22)^2 + (-16)^2 )`

Evaluate the exponents.

`d = √((484) + (256) )`

Add.

`d=√(740)`

Evaluate the square root.

`d=27.20` units or
`2√(185)` units

Hope this helps!