Question

Encontre a distância entre: a) o ponto p(6,3) e a reta r: x+2y+5=0

Answer 1

Explicação passo-a-passo:

$\sf d=\dfrac{|a\cdot x_0+b\cdot y_0+c|}{\sqrt{a^2+b^2}}$

$\sf d=\dfrac{|1\cdot6+2\cdot3+5|}{\sqrt{1^2+2^2}}$

$\sf d=\dfrac{|6+6+5|}{\sqrt{1+4}}$

$\sf d=\dfrac{|17|}{\sqrt{5}}$

$\sf d=\dfrac{17}{\sqrt{5}}$

$\sf d=\dfrac{17}{\sqrt{5}}\cdot\dfrac{\sqrt{5}}{\sqrt{5}}$

$\sf \red{d=\dfrac{17\sqrt{5}}{5}}$