| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
If a = c = 9, b = d = 4, what is the area of this rectangle?
| 36 | |
| 32 | |
| 12 | |
| 45 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 4
a = 36
Solve for a:
9a + 3 = -6 - 3a
| -\(\frac{3}{4}\) | |
| -5 | |
| 1\(\frac{1}{2}\) | |
| -1\(\frac{1}{8}\) |
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.
9a + 3 = -6 - 3a
9a = -6 - 3a - 3
9a + 3a = -6 - 3
12a = -9
a = \( \frac{-9}{12} \)
a = -\(\frac{3}{4}\)
The dimensions of this cylinder are height (h) = 9 and radius (r) = 9. What is the surface area?
| 88π | |
| 224π | |
| 208π | |
| 324π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 9)
sa = 2π(81) + 2π(81)
sa = (2 x 81)π + (2 x 81)π
sa = 162π + 162π
sa = 324π
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
|
4π r2 |
|
π r2h |
|
2(π r2) + 2π rh |
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.
The endpoints of this line segment are at (-2, 1) and (2, -7). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| -1 | |
| -\(\frac{1}{2}\) | |
| -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, 1) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)