Answer:
13 units
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (- 5, 4)
d = [tex]\sqrt{(-5-0)^2+(4-(-8))^2}[/tex]
= [tex]\sqrt{(-5)^2+(4+8)^2}[/tex]
= [tex]\sqrt{25+12^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13