Exercice 5: On considère la figure suivante tel que : \( O D B \) et \( O A C \) deux triangles rectangles en \( D \) et \( A \) successivement. \( \begin{array}{l}D B=5 ; O D=a ; O A=2 \text { et } A C=3 \\ \quad>\text { Calculer la valeur de } a ?\end{array} \)

Find the focus, directrix, vertex and axis of symmetry for the parabola \( (y-3)^{2}=8(x+1) \) Focus \( =\square \) Directrix \( =\square \) Vertex \( =\square \)

\( \begin{aligned} \text { d. Area } & =4440 \mathrm{~cm}^{2}, \text { height }=74 \mathrm{~cm}, \text { base }=\text { ? } \\ \text { Area } & =\mathrm{cb} \times \mathrm{h}\end{aligned} \)

10. Encuentre la ecuación general del \( p \) \( (0,0,0) ;(2,0,3) \) y \( (-3,-1,5) \)

El área de la región limitada por \( \frac{x^{2}}{4}+\frac{y^{2}}{25}=1 \) es: (A) \( 10 \pi u^{2} \) (B) \( 100 \pi u^{2} \) (C) \( 20 \pi u^{2} \) (D) \( 50 \pi u^{2} \)

Alex has a rectangular pool that is 50 feet long, 20 feet wid and 10 feet deep. He fills the pool with water 1 foot below th top of the pool. What is the volume of water, in cubic feet, that Alex uses to fill the pool?