niamh76 niamh76
  • 25-06-2021
  • Mathematics
contestada

Workout the length of AB. Give your answers to 3 significant figures.

Workout the length of AB Give your answers to 3 significant figures class=

Respuesta :

jimrgrant1 jimrgrant1
  • 25-06-2021

Answer:

AB ≈ 6.71

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (- 1, 6) and (x₂, y₂ ) = B (5, 3)

AB = [tex]\sqrt{(5-(-1))^2+(3-6)^2}[/tex]

    = [tex]\sqrt{(5+1)^2+(-3)^2}[/tex]

    = [tex]\sqrt{6^2+9}[/tex]

    = [tex]\sqrt{36+9}[/tex]

    = [tex]\sqrt{45}[/tex]

    ≈ 6.71 ( to 3 significant figures )

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