Respuesta :

Answer:

[tex]\sqrt{106}[/tex] 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, 0) and (x₂, y₂ ) = (- 9, 5)

d = [tex]\sqrt{(-9-0)^2+(5-0)^2}[/tex]

   = [tex]\sqrt{(-9)^2+5^2}[/tex]

   = [tex]\sqrt{81+25}[/tex]

    = [tex]\sqrt{106}[/tex]