Question

Dado o ponto A com coordenadas (0, 2) e reta S: 3x + 4y -3 = 0. Calcule a distancia entre o ponto A e a reta S*
( ) 4
( ) 3
( ) 2
( ) 1​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{A(0,2)}$

$\mathsf{3x + 4y - 3 = 0}$

$\mathsf{d_{p,r} = |\:\dfrac{a.x_0 + b.y_0 + c}{\sqrt{a^2 + b^2}}\:|}$

$\mathsf{d_{p,r} = |\:\dfrac{3.0 + 4.2 - 3}{\sqrt{3^2 + 4^2}}\:|}$

$\mathsf{d_{p,r} = |\:\dfrac{0 + 8 - 3}{\sqrt{9 + 16}}\:|}$

$\mathsf{d_{p,r} = |\:\dfrac{5}{\sqrt{25}}\:|}$

$\mathsf{d_{p,r} = |\:\dfrac{5}{5}\:|}$

$\boxed{\boxed{\mathsf{d_{p,r} = 1}}}$