To the nearest hundreth, what is the length of line segment AB?
1.) 2.45
2.) 2.16
3.) 7.75
4.) 8.25

Answer:
option (4)
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(2, 2) and (x₂, y₂ ) = B(- 6, 4)
AB = [tex]\sqrt{(-6-2)^2+(4-2)^2}[/tex]
= [tex]\sqrt{(-8)^2+2^2}[/tex]
= [tex]\sqrt{64+4}[/tex]
= [tex]\sqrt{68}[/tex]
≈ 8.25 ( to 2 dec. places )