Practics Problems Explofation A sugar cube has a volume of about 1 cubic centimeter. Estimate the size of a box you would need to hold \( 1,000,000 \) sugar cubes?

2. В параллелепипеде АВСDA \( _{1} \mathrm{~B}_{1} \mathrm{C}_{1} \mathrm{D}_{1} \) основание \( \mathrm{ABCD}- \) квадрат со стороной, равной 8 см, остальные грани - прямоугольники. Боковое ребро равно 3 см, \( \mathrm{E}- \) середина \( \mathrm{A}_{1} \mathrm{~B}_{1} \). Постройте сечение параллелепипеда плоскостью, проходящей через АС и точку Е, и найдите периметр сечения.

Identify the type of graph for the equation. \( 5(x-1)^{2}+5(y+1)^{2}=0 \) What type of graph is described by this equation? A. Circle B. Point C. Ellipse D. No graph

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 following ellipse. Give the domain, range, center, vertices, endp \[ 16 \mathrm{x}^{2}+\mathrm{y}^{2}=400 \] The center of the ellipse is \( \square \). (Type an ordered pair.) The vertices of the ellipse are \( \square \). (Use a comma to separate answers as needed. Type an ordered pair, using in The endpoints of the minor axis are \( \square \). (Use a comma to separate answers as needed. Type an ordered pair, using inte The foci of the ellipse are \( \square \). (Simplify your answer. Use a comma to separate answers as needed. Type an of Graph the ellipse. Choose the correct graph below.

\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}