| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
lw x wh + lh |
|
h x l x w |
|
2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
The endpoints of this line segment are at (-2, 8) and (2, 0). What is the slope of this line?
| -2 | |
| -\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 8) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)If AD = 20 and BD = 16, AB = ?
| 9 | |
| 15 | |
| 4 | |
| 18 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDFind the value of a:
-9a + y = -1
-8a + 4y = 9
| 2\(\frac{3}{7}\) | |
| -2\(\frac{2}{13}\) | |
| \(\frac{13}{28}\) | |
| 5\(\frac{1}{6}\) |
You need to find the value of a so solve the first equation in terms of y:
-9a + y = -1
y = -1 + 9a
then substitute the result (-1 - -9a) into the second equation:
-8a + 4(-1 + 9a) = 9
-8a + (4 x -1) + (4 x 9a) = 9
-8a - 4 + 36a = 9
-8a + 36a = 9 + 4
28a = 13
a = \( \frac{13}{28} \)
a = \(\frac{13}{28}\)
What is the area of a circle with a radius of 5?
| 9π | |
| 25π | |
| 2π | |
| 8π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π