Answer:
CD ≈ 7.1
Step-by-step explanation:
Using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C (6, - 5 ) and (x₂, y₂ ) = D (- 1, - 4 )
d = [tex]\sqrt{(-1-6)^2+(-4-(-5))^2}[/tex]
= [tex]\sqrt{(-7)^2+(-4+5)^2}[/tex]
= [tex]\sqrt{49+1^2}[/tex]
= [tex]\sqrt{49+1}[/tex]
= [tex]\sqrt{50}[/tex]
≈ 7.1 ( to the nearest tenth )
CD is 7.1 units ( to the nearest tenth )
