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Bond [772]
3 years ago
9

A(7, −3), B(9, 7) (a) Find the distance d(A, B) between A and B. (Round your answer to two decimal places.) d(A, B) =

Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

≈ 10.20

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(7, - 3) and (x₂, y₂ ) = B(9, 7)

d = \sqrt{(9-7)^2+(7+3)^2}

  = \sqrt{2^2+10^2}

  = \sqrt{4+100} = \sqrt{104} ≈ 10.20 ( to 2 dec. places )

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