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

Calculate The Distance Between The Points N99 And H32 In The Coordinate Plane class=

Sagot :

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]