Question

what is the distance between (0,-8) and (3,2)

Answer 1

Answer: $\Large\boxed{Distance=\sqrt{109}}$

Explanation:

Given information

(x₁, y₁) = (0, -8)

(x₂, y₂) = (3, 2)

Given the distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute values into the given formula

$Distance=\sqrt{(3-0)^2+(2-(-8))^2}$

Simplify values in the parenthesis

$Distance=\sqrt{(3)^2+(2+8)^2}$

$Distance=\sqrt{(3)^2+(10)^2}$

Simplify the exponents

$Distance=\sqrt{9+100$

Simplify by addition

$\Large\boxed{Distance=\sqrt{109}}$

Hope this helps!! :)

Please let me know if you have any questions