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Find the distance between the pair of points.
E(5, -3), F( - 4,9)
d =
(Simplify your answer. Type an exact answer, using radicals as needed.)

Find The Distance Between The Pair Of Points E5 3 F 49 D Simplify Your Answer Type An Exact Answer Using Radicals As Needed class=

Sagot :

Answer:

EF = 15 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 ) = E (5, - 3) and (x₂, y₂ ) = F (- 4, 9)

EF = [tex]\sqrt{-4-5)^2+(9-(-3))^2}[/tex]

     = [tex]\sqrt{(-9)^2+(9+3)^2}[/tex]

      = [tex]\sqrt{81+12^2}[/tex]

      = [tex]\sqrt{81+144}[/tex]

      = [tex]\sqrt{225}[/tex]

      = 15

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