| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
The dimensions of this cylinder are height (h) = 2 and radius (r) = 8. What is the volume?
| 18π | |
| 216π | |
| 128π | |
| 256π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 2)
v = 128π
Solve -9a - 6a = -6a - 6y + 5 for a in terms of y.
| y - 1\(\frac{2}{3}\) | |
| -\(\frac{5}{9}\)y + \(\frac{1}{2}\) | |
| 2y + 1\(\frac{1}{5}\) | |
| -\(\frac{5}{8}\)y + \(\frac{5}{16}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-9a - 6y = -6a - 6y + 5
-9a = -6a - 6y + 5 + 6y
-9a + 6a = -6y + 5 + 6y
-3a = + 5
a = \( \frac{ + 5}{-3} \)
a = \( \frac{}{-3} \) + \( \frac{5}{-3} \)
a = y - 1\(\frac{2}{3}\)
A coordinate grid is composed of which of the following?
all of these |
|
origin |
|
x-axis |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h |
|
π r2h2 |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
Solve for x:
-7x + 3 < \( \frac{x}{-3} \)
| x < \(\frac{20}{29}\) | |
| x < -\(\frac{12}{19}\) | |
| x < -\(\frac{3}{8}\) | |
| x < \(\frac{9}{20}\) |
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 < sign and the answer on the other.
-7x + 3 < \( \frac{x}{-3} \)
-3 x (-7x + 3) < x
(-3 x -7x) + (-3 x 3) < x
21x - 9 < x
21x - 9 - x < 0
21x - x < 9
20x < 9
x < \( \frac{9}{20} \)
x < \(\frac{9}{20}\)