d6339521
d6339521 d6339521
  • 11-02-2020
  • Mathematics
contestada

What is the length, in units, of the line segment with endpoints at (1, 4) and (3, 7)?

Respuesta :

jimrgrant1 jimrgrant1
  • 11-02-2020

Answer:

≈ 3.6 units

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (3, 7)

d = [tex]\sqrt{(3-1)^2+(7-4)^2}[/tex]

   = [tex]\sqrt{2^2+3^2}[/tex]

   = [tex]\sqrt{4+9}[/tex]

   = [tex]\sqrt{13}[/tex] ≈ 3.6 units ( to 1 dec. place )

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