Question

Questão 1 

Calcule a distância entre o ponto dados:

A)p (3,-3) q (-3,3)

B)c (-4,0). D (0,3)

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Answer 1

A)
d(p, q) = [(- 3 - 3)^2 + (3 - (- 3))^2]^(1/2)
d(p, q) = [(- 6)^2 + (3 + 3)^2]^(1/2)
d(p, q) = [36 + 6^2]^(1/2)
d(p, q) = [36 + 36]^(1/2)
d(p, q) = [72]^(1/2)
d(p, q) = [2^2 * 2 * 3^2]^(1/2)
d(p, q) = 2 * 3 * [2]^(1/2)
d(p, q) = 6 * [2]^(1/2)

B)
d(c, d) = [(0 - ( - 4))^2 + (3 - 0)^2]^(1/2)
d(c, d) = [4^2 + 3^2]^(1/2)
d(c, d) = [16 + 9]^(1/2)
d(c, d) = [25]^(1/2)
d(c, d) = 5

Answer 2

Resposta:

A)

d(p, q) = [(- 3 - 3)^2 + (3 - (- 3))^2]^(1/2)

d(p, q) = [(- 6)^2 + (3 + 3)^2]^(1/2)

d(p, q) = [36 + 6^2]^(1/2)

d(p, q) = [36 + 36]^(1/2)

d(p, q) = [72]^(1/2)

d(p, q) = [2^2 * 2 * 3^2]^(1/2)

d(p, q) = 2 * 3 * [2]^(1/2)

d(p, q) = 6 * [2]^(1/2)

B)

d(c, d) = [(0 - ( - 4))^2 + (3 - 0)^2]^(1/2)

d(c, d) = [4^2 + 3^2]^(1/2)

d(c, d) = [16 + 9]^(1/2)

d(c, d) = [25]^(1/2)

d(c, d) = 5

Explicação passo a passo: