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

Answer:

15 units

Step-by-step 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 = $\sqrt{(9-0)^2+(10+2)^2}$

   = $\sqrt{9^2+12^2}$

   = $\sqrt{81+144}$

   = $\sqrt{225}$

   = 15