Answer:
2[tex]\sqrt{5}[/tex]
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 ) = (3, - 6) and (x₂, y₂ ) = (- 1, - 8)
d = [tex]\sqrt{(-1-3)^2+(-8+6)^2}[/tex]
= [tex]\sqrt{(-4)^2+(-2)^2}[/tex]
= [tex]\sqrt{16+4}[/tex]
= [tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{5}[/tex]
