Question

use the distance formula to find the distance between the two points (-3, 3) and (2, 2) 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

`√(26)`

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (2, 2)

d =
`√((2+3)^2+(2-3)^2)`

=
`√(5^2+(-1)^2)`

=
`√(25+1)`

=
`√(26)`