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kobusy [5.1K]
3 years ago
7

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

Mathematics
1 answer:
german3 years ago
8 0

Answer:

AB ≈ 6.71

Step-by-step explanation:

Calculate the length using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

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

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

    = \sqrt{(5+1)^2+(-3)^2}

    = \sqrt{6^2+9}

    = \sqrt{36+9}

    = \sqrt{45}

    ≈ 6.71 ( to 3 significant figures )

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