Answer:
d ≈ 9.8 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 ) = (9, - 5 ) and (x₂, y₂ ) = (0, - 9 )
d = [tex]\sqrt{(0-9)^2+(-9-(-5))^2}[/tex]
= [tex]\sqrt{(-9)^2+(-9+5)^2}[/tex]
= [tex]\sqrt{81+(-4)^2}[/tex]
= [tex]\sqrt{81+16}[/tex]
= [tex]\sqrt{97}[/tex]
≈ 9.8 units ( to the nearest tenth )
