Question

Encontre a distância entre os pontos dados
a) A (2,1) e B (5,8)
b) A (-5,-1) e B (2,1)​

Answer 1

Resposta:

a) dist(A, B) = [58]^(1/2)

b) dist(A, B) = [53]^(1/2)

Explicação passo-a-passo:

a) A(2,1) e B(5,8)

dist(A, B) = [(5 - 2)^2 + (8 - 1)^2]^(1/2)

dist(A, B) = [3^2 + 7^2]^(1/2)

dist(A, B) = [9 + 49]^(1/2)

dist(A, B) = [58]^(1/2)

dist(A, B) = [58]^(1/2)

 

b) A(-5,-1) e B(2,1)​

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

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

dist(A, B) = [7^2 + 2^2]^(1/2)

dist(A, B) = [49 + 4]^(1/2)

dist(A, B) = [53]^(1/2)