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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