Answer:
PQ ≈ 10.6 cm
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 ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)
PQ = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]
= [tex]\sqrt{(-8)^2+7^2}[/tex]
= [tex]\sqrt{64+49}[/tex]
= [tex]\sqrt{113}[/tex]
≈ 10.6 ( to 1 dec. place )
