Answer:
13
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 ) = (- 4, - 6) and (x₂, y₂ ) = (- 9, 6)
d = [tex]\sqrt{(-9+4)^2+(6+6)^2}[/tex]
= [tex]\sqrt{(-5)^2+12^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
