Question

calcule a distância entre : P(-2,0) e r:-3x+4y+2=0​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{r:\:-3x + 4y + 2 = 0}$

$\mathsf{P(-2;0)}$

$\mathsf{d_{p,r} = |\:\dfrac{ax_0 + by_0 + c}{\sqrt{a^2 + b^2}}\:|}$

$\mathsf{d_{p,r} = |\:\dfrac{(-3)(-2) + (4)(0) + 2}{\sqrt{(-3)^2 + (4)^2}}\:|}$

$\mathsf{d_{p,r} = |\:\dfrac{6 + 0 + 2}{\sqrt{9 + 16}}\:|}$

$\mathsf{d_{p,r} = \dfrac{8}{\sqrt{25}}}$

$\boxed{\boxed{\mathsf{d_{p,r} = \dfrac{8}{5}}}}$