Calculate the distance between the points N=(-9,9) and H=(-3,2) in the coordinate plane.

Answer:
[tex]\sqrt{85}[/tex] 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 ) = N(- 9, 9) and (x₂, y₂ ) = H(- 3, 2)
d = [tex]\sqrt{-3+9)^2+(2-9)^2}[/tex]
= [tex]\sqrt{6^2+(-7)^2}[/tex]
= [tex]\sqrt{36+49}[/tex]
= [tex]\sqrt{85}[/tex]