dollara798 dollara798
  • 25-01-2020
  • Mathematics
contestada

Segment AB has endpoints A(-1,3) and B(0,7). What is the length of AB?

Respuesta :

jimrgrant1 jimrgrant1
  • 25-01-2020

Answer:

[tex]\sqrt{17}[/tex]

Step-by-step explanation:

Calculate the length (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (0, 7)

d = [tex]\sqrt{(0+1)^2+(7-3)^2}[/tex]

   = [tex]\sqrt{1^2+4^2}[/tex]

   = [tex]\sqrt{1+16}[/tex]

   = [tex]\sqrt{17}[/tex] ≈ 4.1 ( to 1 dec. place )

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