| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.57 |
| Score | 0% | 51% |
The endpoints of this line segment are at (-2, 2) and (2, -8). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) | |
| 2 | |
| \(\frac{1}{2}\) |
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, 2) and (2, -8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)The dimensions of this cylinder are height (h) = 3 and radius (r) = 4. What is the volume?
| 54π | |
| 441π | |
| 343π | |
| 48π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 3)
v = 48π
Solve -4c + 4c = 6c + 2y - 6 for c in terms of y.
| -\(\frac{1}{2}\)y + \(\frac{7}{8}\) | |
| 1\(\frac{1}{2}\)y - \(\frac{5}{6}\) | |
| -2\(\frac{3}{5}\)y + 1\(\frac{1}{5}\) | |
| \(\frac{1}{5}\)y + \(\frac{3}{5}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-4c + 4y = 6c + 2y - 6
-4c = 6c + 2y - 6 - 4y
-4c - 6c = 2y - 6 - 4y
-10c = -2y - 6
c = \( \frac{-2y - 6}{-10} \)
c = \( \frac{-2y}{-10} \) + \( \frac{-6}{-10} \)
c = \(\frac{1}{5}\)y + \(\frac{3}{5}\)
Solve for a:
-5a - 1 = \( \frac{a}{2} \)
| -1\(\frac{19}{29}\) | |
| -1 | |
| -\(\frac{2}{11}\) | |
| -\(\frac{32}{41}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-5a - 1 = \( \frac{a}{2} \)
2 x (-5a - 1) = a
(2 x -5a) + (2 x -1) = a
-10a - 2 = a
-10a - 2 - a = 0
-10a - a = 2
-11a = 2
a = \( \frac{2}{-11} \)
a = -\(\frac{2}{11}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
h x l x w |
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.