Question

Determine a distância entre os pontos A (1/2, -1/3) B (5/2, 1/3)

Answer 1

Resposta:

dist(A, B) = [40^(1/2)]/3

Explicação passo-a-passo:

A = (1/2, -1/3) B = (5/2, 1/3)

dist(A, B) = [(Bx - Ax)^2 + (By - Ay)^2]^(1/2)

dist(A, B) = [(5/2 - 1/2)^2 + (1/3 - (-1/2))^2]^(1/2)

dist(A, B) = [(4/2)^2 + (1/3 + 1/3)^2]^(1/2)

dist(A, B) = [(2)^2 + (2/3)^2]^(1/2)

dist(A, B) = [4 + (4/9)]^(1/2)

dist(A, B) = [4 + 4/9]^(1/2)

dist(A, B) = [40/9]^(1/2)

dist(A, B) = [40^(1/2)]/[9^(1/2)]

dist(A, B) = [40^(1/2)]/3