Answer:
3[tex]\sqrt{13}[/tex]
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 ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)
d = [tex]\sqrt{(-3-(-9))^2+(-1-8)^2}[/tex]
= [tex]\sqrt{(-3+9)^2+(-9)^2}[/tex]
= [tex]\sqrt{6^2+81}[/tex]
= [tex]\sqrt{36+81}[/tex]
= [tex]\sqrt{117}[/tex]
= [tex]\sqrt{9(13)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{13}[/tex]
= 3[tex]\sqrt{13}[/tex]
