Answer:
d ≈ 3.6 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 ) = (6, - 7 ) and (x₂, y₂ ) = (3, - 5 )
d = [tex]\sqrt{(3-6)^2+(-5-(-7))^2}[/tex]
= [tex]\sqrt{(-3)^2+(-5+7)^2}[/tex]
= [tex]\sqrt{9+2^2}[/tex]
= [tex]\sqrt{9+4}[/tex]
= [tex]\sqrt{13}[/tex]
≈ 3.6 ( to the nearest tenth )
