Question

Calcule a distancia do ponto origem a reta r (r) (5x-2y+1=0

Answer 1

Olá!

Ponto origem:
P(0;0)
Recta:
r : 5x – 2y + 1=0

Fórmula:
$d(P,r) = \frac{ |ax + by \: + c| }{ \sqrt{ {a}^{2} + {b}^{2} } }$
d (P,r) =(|5•0 + (–2)•0 + 1|)/(√5²+(–2)²
d(P,r) = (| 1|)/√(25 + 4)
$d(P,r) = \frac{1}{ \sqrt{29} } \\ \\ d(P,r) = \frac{ \sqrt{29} }{29}$
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Abraços!!