Question

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) =

Answer 1

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 )