Answer:
A
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 ) = A (5, 1 ) and (x₂, y₂ ) = B (- 3, - 3 )
AB = [tex]\sqrt{(-3-5)^2+(-3-1)^2}[/tex]
= [tex]\sqrt{(-8)^2+(-4)^2}[/tex]
= [tex]\sqrt{64+16}[/tex]
= [tex]\sqrt{80}[/tex]
= [tex]\sqrt{16(5)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex]
= 4[tex]\sqrt{5}[/tex] → A
