Answer:
10 units
Step-by-step explanation:
calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )
d = [tex]\sqrt{(4-(-4))^2+(-2-4)^2}[/tex]
= [tex]\sqrt{(4+4)^2+(-6)^2}[/tex]
= [tex]\sqrt{8^2+36}[/tex]
= [tex]\sqrt{64+36}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
