malusanchez0809 malusanchez0809
  • 15-08-2019
  • Mathematics
contestada

A(7, −3), B(9, 7) (a) Find the distance d(A, B) between A and B. (Round your answer to two decimal places.) d(A, B) =

Respuesta :

jimrgrant1 jimrgrant1
  • 15-08-2019

Answer:

≈ 10.20

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(7, - 3) and (x₂, y₂ ) = B(9, 7)

d = [tex]\sqrt{(9-7)^2+(7+3)^2}[/tex]

  = [tex]\sqrt{2^2+10^2}[/tex]

  = [tex]\sqrt{4+100}[/tex] = [tex]\sqrt{104}[/tex] ≈ 10.20 ( to 2 dec. places )

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