Seorang tukang menggali sebuah kolam berbentuk persegi panjang dengan panjang \( 4 \sqrt{2} \) meter dan lebar \( 3 \sqrt{2} \) meter. Jika kedalaman kolam tersebut adalah \( \sqrt{8} \) meter, maka volume kolam tersebut adalah .... meter kubik. \( \begin{array}{ll}12 \sqrt{2} & \text { D. } 48 \sqrt{2} \\ 24 \sqrt{2} & \text { E. } 96 \sqrt{2}\end{array} \)

3. Déterminer le centre \( M \) et le rayon \( r \) du cercle \( \mathcal{C} \) donné par l'intersection de la sphère d'équation \( \mathcal{S}: x^{2}-6 x+y^{2}-2 y+z^{2}-18 z=-42 \) et du plan \( \Pi: 4 x-y+4 z=14 \).

Determine o valor de \( m \) para que as retas \( r \) e \( s \) sejam concor- rentes e ache o ponto de interseção, sendo \( r: \frac{x-1}{3}=y+2=\frac{z}{-2} \quad \) s: \( \left\{\begin{array}{l}x=m-t \\ y=1+t \\ z=2 t, t \in R\end{array}\right. \)

Find the midpoint of the line segment with the given endpoints. \( \begin{array}{ll}\text { 23) }(-7,10),(-10,-10) \\ \mathrm{mPX}=-7+-10^{2} & \text { 24) }(-1,-6) \cdot(6,-5)\end{array} \)

\begin{tabular}{l}\hline Find the distance between the two points. (Show Work) (Page 31-33, 36) (3pts) \\ \( \qquad \begin{array}{l}d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\ P(-12,-23) \text { and } Q(6,1)\end{array} \) \\ \hline\end{tabular}

10 RNB est un triangle tel que \( \mathrm{RB}=13,9 \mathrm{~cm} \) et \( \mathrm{NB}=8,3 \mathrm{~cm} \). Parmi les longueurs suivantes, lesquelles peuvent être égales à RN ? Justifier. \( \begin{array}{ll}11 \mathrm{~cm} \quad 5,4 \mathrm{~cm} \quad 25,6 \mathrm{~cm} \quad 19,3 \mathrm{~cm} \quad 5,6 \mathrm{~cm}\end{array} \)