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lora16 [44]
3 years ago
9

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

Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Answer:

\sqrt{17}

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 = \sqrt{(0+1)^2+(7-3)^2}

   = \sqrt{1^2+4^2}

   = \sqrt{1+16}

   = \sqrt{17} ≈ 4.1 ( to 1 dec. place )

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