XE9 \( A B C D \) un rectangle tel que \( B C=4 \) et \( A B=10 \) 1) calculer la longueur de \( [A C] \) f) \( M \) un point de \( [A B] \) on pose \( A M=x \) vealculer \( B M^{2} ; D M^{2} ; C M^{2} \) en fonction de \( x \). b)déterminer \( x \) tel que \( D M C \) triangle rectangle en \( M^{3} \)

A one-way road passes under an overpass in the shape of half an ellipse, 20 ft high at the center and 20 ft wide. Ass 17 of 21 what is the tallest truck that can pass under the overpass? The tallest truck that can pass under the overpass is \( \square \mathrm{ft} \) tall.

\begin{tabular}{l|l} Identify the type of graph that the equation has, without graphing. \\ \( \frac{x^{2}}{81}-\frac{y^{2}}{81}=1 \) & \( \begin{array}{r}\text { This equation ha } \\ \text { A parabola } \\ \text { A hyperbo } \\ \text { An ellipse }\end{array} \) \\ Acircle \end{tabular}

Un triángulo rectángulo tiene una hipotenusa de 10 unidades y uno de los catetos mide 6 unidades. ¿Cuánto mide el otro cateto?

1. Постройте сечение параллелепипеда \( \mathrm{ABCDA}_{1} \mathrm{~B}_{1} \mathrm{C}_{1} \mathrm{D}_{1} \) плоскостью, проходящей через точки \( \mathrm{M}, \mathrm{P} \) и E где \( \mathrm{M} \in \mathrm{B}_{1} \mathrm{C}_{1}, \mathrm{P} \in \) \( \mathrm{CC}_{1} \) и \( \mathrm{E} \in \mathrm{AB} \).

Graph the hyperbola \( x^{2}-y^{2}=36 \). Give the domain, range, center, vertices, foci, and e asymptotes for the figure. The hyperbola has a center at (Type an ordered pair.) The vertices are 21. (Type ordered pairs. Use a comma to separate answers as needed.) The foci are \( (6 \sqrt{2.0}),(-6 \sqrt{2,0}) \). (Type ordered pairs. Type an exact answer, using radicals as needed. Use a comma to \( s \) answers as needed.) What are the equations of the asymptotes? Choose the correct answer below. A. \( y= \pm 6 x \) B. \( x= \pm 6 y \) C. \( x= \pm y \) (O). \( y= \pm x \)