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  • 22-10-2019
  • Mathematics
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hey puddin could ya help me !?- What is the length of segment AB?


hey puddin could ya help me What is the length of segment AB class=

Respuesta :

jimrgrant1 jimrgrant1
  • 22-10-2019

Answer:

AB = 4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Calculate AB using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(0, 10)

AB = [tex]\sqrt{(0-6)^2+(10-2)^2}[/tex]

     = [tex]\sqrt{4^2+8^2}[/tex]

    = [tex]\sqrt{16+64}[/tex]

    = [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex] ← exact length

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