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!

Respuesta :

Answer:

15 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

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

d = [tex]\sqrt{(9-0)^2+(10+2)^2}[/tex]

   = [tex]\sqrt{9^2+12^2}[/tex]

   = [tex]\sqrt{81+144}[/tex]

   = [tex]\sqrt{225}[/tex]

   = 15