Question

calcular a distancia entre as retas paralelas r: 2x+3y=4 r: 2x+3y=1

Answer 1

Vamos considerar a seguinte fórmula:

$d(r,r')=\displaystyle \frac{|c-c'|}{\sqrt{a^{2}+b^{2}}} \\ \\ d(r,r')=\displaystyle \frac{|4-1|}{\sqrt{2^{2}+3^{2}}} \\ \\ d(r,r')=\displaystyle \frac{3}{\sqrt{13}}$