Answer:
AB ≈ 6.71
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 (- 1, 6) and (x₂, y₂ ) = B (5, 3)
AB = [tex]\sqrt{(5-(-1))^2+(3-6)^2}[/tex]
= [tex]\sqrt{(5+1)^2+(-3)^2}[/tex]
= [tex]\sqrt{6^2+9}[/tex]
= [tex]\sqrt{36+9}[/tex]
= [tex]\sqrt{45}[/tex]
≈ 6.71 ( to 3 significant figures )
