Answer:
LM ≈ 15.8
Step-by-step explanation:
calculate the length d using the distance formula
d = [tex]}\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = L (- 6, - 7 ) and (x₂, y₂ ) = M (3, 6 )
LM = [tex]\sqrt{(3-(-6))^2+(6-(-7))^2}[/tex]
= [tex]\sqrt{(3+6)^2+(6+7)^2}[/tex]
= [tex]\sqrt{9^2+13^2}[/tex]
= [tex]\sqrt{81+169}[/tex]
= [tex]\sqrt{250}[/tex]
≈ 15.8 ( to the nearest tenth )
