Question

calcule a distancia do ponto p (-3,2) a reta R: 12x+5y+3=0

Answer 1

Resposta:

Explicação passo-a-passo:

Temos que

$d(PR)=\frac{|12.(-2)+5.2+3|}{\sqrt{12^{2}+5^{2}}}=\frac{|-24+10+3|}{\sqrt{144+25}}=\frac{|-11|}{\sqrt{165}}=\frac{11\sqrt{165}}{\sqrt{165}\sqrt{165}}=\frac{11\sqrt{165}}{165}$