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Answer:
[tex]\sqrt{41}[/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 ) = (- 1, - 1 ) and (x₂, y₂ ) = (3, - 6 )
d = [tex]\sqrt{(3-(-1))^2+(-6-(-1))^2}[/tex]
= [tex]\sqrt{(3+1)^2+(-6+1)^2}[/tex]
= [tex]\sqrt{4^2+(-5)^2}[/tex]
= [tex]\sqrt{16+25}[/tex]
= [tex]\sqrt{41}[/tex]