Nate is making a picture frame by cutting a small rectangular prism out of a larger rectangular prism. when the project is complete, nate wants to paint all the surfaces except for the back of the frame.

how much surface area will nate need to paint?
a. 386
b. 482
c. 514
d. 678

The graph of y x3 is translated so that the point (1. 1) is moved to (1, 4). what is the equation of the new graph?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth

In the diagram, bc¯¯¯¯¯∥de¯¯¯¯¯ . what is ce ? enter your answer in the box.