Question

Caucule o valor de t sabendo os pontos A (8, t) B (3,0) e C (-1,6)

Answer 1

Olá !

Eis aqui a resolução :

$\left[\begin{array}{ccc}8&t&1\\3&0&1\\-1&6&1\end{array}\right\left]\begin{array}{ccc}8&t&\\3&0&\\-1&6&\end{array}\right$

$-t + 18 - 48 - 3t = 0 \\\\\\ -3t - t + 18 - 48 = 0 \\\\\\ -4t - 30 = 0 \\\\\\ -4t = 30 \\\\\\ t = -\dfrac{30}{4} \\\\\\ t = -\dfrac{15}{2}$

Resposta :

$\boxed{ t = -\dfrac{15}{2}}}$