Answer:
≈ 7.28
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(- 3, 3)
AB = [tex]\sqrt{(-3+5)^2+(3+4)^2}[/tex]
= [tex]\sqrt{2^2+7^2}[/tex]
= [tex]\sqrt{4+49}[/tex]
= [tex]\sqrt{53}[/tex] ≈ 7.28 ( to the nearest hundredth )
