Answer:
AC ≈ 7.8 units
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 ) = A (- 4, - 4 ) and (x₂, y₂ ) = C (2, 1 )
AC = [tex]\sqrt{(2-(-4))^2+(1-(-4))^2}[/tex]
= [tex]\sqrt{(2+4)^2+(1+4)^2}[/tex]
= [tex]\sqrt{6^2+5^2}[/tex]
= [tex]\sqrt{36+25}[/tex]
= [tex]\sqrt{61}[/tex]
≈ 7.8 ( to 1 dec. place )