Answer:
10 units and (- 5, - 1 )
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 ) = C(- 8, - 5) and (x₂, y₂ ) = D(- 2, 3)
d = [tex]\sqrt{(-2+8)^2+(3+5)^2}[/tex]
= [tex]\sqrt{6^2+8^2}[/tex]
= [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Calculate the midpoint using the midpoint formula
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
= [tex]\frac{-8-2}{2}[/tex], [tex]\frac{-5+3}{2}[/tex] )
= [tex]\frac{-10}{2}[/tex], [tex]\frac{-2}{2}[/tex] )
= (- 5, - 1 )
