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Point E(−5, 3) and point D(−4, −3) are located on the grid. Which measurement is closest to the distance between point E and point D in units? A) 6.1 units B) 6.3 units C) 6.5 units D) 6.7 units

Respuesta :

Answer:

A

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = D(- 4, - 3) and (x₂, y₂ ) = E(- 5, 3)

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

   = [tex]\sqrt{(-1)^2+6^2}[/tex]

   = [tex]\sqrt{1+36}[/tex]

   = [tex]\sqrt{37}[/tex] ≈ 6.1 → A

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