Question

2) Verifique se as retas e são perpendiculares 3x + 7y=9 e 7x - 3y = 2 são perpendiculares

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{3x + 7y = 9}$

$\mathsf{7y = -3x + 9}$

$\boxed{\boxed{\mathsf{y = -\dfrac{3x}{7} + \dfrac{9}{7}}}}\rightarrow\mathsf{m' = -\dfrac{3}{7}}$

$\mathsf{7x - 3y = 2}$

$\mathsf{3y = 7x - 2}$

$\boxed{\boxed{\mathsf{y = \dfrac{7x}{3} - \dfrac{2}{3}}}}\rightarrow\mathsf{m'' = \dfrac{7}{3}}$

$\mathsf{-\dfrac{3}{7} \times \dfrac{7}{3} = -1}$

$\boxed{\boxed{\mathsf{m'.m'' = -1}}}\leftarrow\textsf{s{\~a}o perpendiculares}$