Question

Am nevoie de AJUTOR!​

Answer 1

Explicație pas cu pas:

a) b)

intersecția cu axa Ox:

y = 0 <=> 3 - 2x = 0 => 2x = 3 => x = 3/2

$A \biggl( \dfrac{3}{2} ;0\biggr)$

intersecția cu axa Oy:

x = 0 => f(x) = 3

$B \biggl(0 ;3\biggr)$

$P \biggl(0 ;m\biggr)$

$OB = 3 \ ; \ \ OP = m - \dfrac{3}{2}$

$\mathcal{A}_{\triangle PBA} = \dfrac {OB \cdot OP}{2} \\ \dfrac {3 \cdot \biggl(m - \dfrac{3}{2}\biggl)}{2} = 3 \iff m - \dfrac{3}{2} = 2 \\ m = 2 + \dfrac{3}{2} \implies m = \dfrac{7}{2}$