Question

calcule as distâncias entre os pontos e retas

A) A(2,6) e r:2x+4y-1=0

B) (0,10) t: x-y+1=0

C) P(-2,5) u:4x+3y-2=0

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Answer 1

Explicação passo a passo:

A)

$d = \frac{|2.2+4.6-1|}{\sqrt{2^{2}+4^{2} }} \\d = \frac{|27|}{\sqrt{20 }} \\d = \frac{27\sqrt{20 }}{20}$

B)

$d = \frac{|1.0-1.10+1|}{\sqrt{1^{2}+(-1)^{2} }} \\d = \frac{|-9|}{\sqrt{2 }} \\d = \frac{9\sqrt{2 }}{2}$

C)

$d = \frac{|4.(-2)+3.5-2|}{\sqrt{4^{2}+3^{2} }} \\d = \frac{|5|}{\sqrt{25 }} \\d = \frac{5}{5}\\d=1$