Which correctly describes a cross section of the cube below? Check all that apply.

A. a cross section parallel to the base is a square measuring 4 cm by 4 cm.

B. a cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.
C. a cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.

D. a cross section perpendicular to the base through the midpoints of opposite sides is a sauare measurina 4 cm by 4 cm.

E. a cross section that passes through the entire bottom front edge and the entire top back edge is a rectangle measuring 4cm by greater than 4cm

When the solutions to each of the two equations below are graphed in the xy-coordinate plane, the graphs of the solutions intersect at two places. write the y-cordninates of the points of intersection in the boxes below in order from smallest to largest. y=2x y=x^2-3

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

You went to a restaurant and spent $53.25 on the meal. there was a 6% sales tax. what was the amount of money, not including a tip, you spent at the restaurant?