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

≈ 10.20

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 =
`√((9-7)^2+(7+3)^2)`

=
`√(2^2+10^2)`

=
`√(4+100)` =
`√(104)` ≈ 10.20 ( to 2 dec. places )