Question

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

Answer 1

Answer:
`\Large\boxed{Distance=√(109)}`

Step-by-step explanation:

Given information

(x₁, y₁) = (0, -8)

(x₂, y₂) = (3, 2)

Given the distance formula

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute values into the given formula

`Distance=√((3-0)^2+(2-(-8))^2)`

Simplify values in the parenthesis

`Distance=√((3)^2+(2+8)^2)`

`Distance=√((3)^2+(10)^2)`

Simplify the exponents

`Distance=\sqrt{9+100`

Simplify by addition

`\Large\boxed{Distance=√(109)}`

Hope this helps!! :)

Please let me know if you have any questions