Answer:
RS ≈ 5.39
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 ) = R(- 2, 6) and (x₂, y₂ ) = S(- 4, 1)
RS = [tex]\sqrt{(-4+2)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(- 2)^2+(-5)^2}[/tex]
= [tex]\sqrt{4+25}[/tex]
= [tex]\sqrt{29}[/tex]
≈ 5.39 ( to 2 dec. places )
