Question

use the distance formula to find the distance between the two points. (0, -2) and (9, 10) give the exact length (leave in radical form if it is not a perfect square). but please show your work so i can understand. its ok if u cant show ur work tho thank you!

Answer 1

15 units

Explanation:

Calculate the distance d using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (9, 10)

d =
`√((9-0)^2+(10+2)^2)`

=
`√(9^2+12^2)`

=
`√(81+144)`

=
`√(225)`

= 15