Question

a distância entre os pontos M(4,5) e N(-1,7) no plano cartesiano x0y vale:

(A) 14
(B) 13
(C) 12
(D) 9
(E) 8

Answer 1

$\mathsf{{(x_{N}-x_{M})}^{2}={(-1-4)}^{2}={(-5)}^{2}=25}$

$\mathsf{{(y_{N}-y_{M})}^{2}={(7-5)}^{2}={(2)}^{2}=4}$

$\mathtt{d_{M,N}=\sqrt{{(x_{N}-x_{M})}^{2}+{(y_{N}-y_{M})}^{2}}}$

$\mathtt{d_{M, N}=\sqrt{25+4}}$

$\mathtt{d_{M, N}=\sqrt{29}}$

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