| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.73 |
| Score | 0% | 55% |
The dimensions of this cylinder are height (h) = 3 and radius (r) = 7. What is the volume?
| 36π | |
| 147π | |
| 486π | |
| 80π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 3)
v = 147π
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
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.
Factor y2 + 8y + 15
| (y + 3)(y - 5) | |
| (y - 3)(y - 5) | |
| (y + 3)(y + 5) | |
| (y - 3)(y + 5) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 15 as well and sum (Inside, Outside) to equal 8. For this problem, those two numbers are 3 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 8y + 15
y2 + (3 + 5)y + (3 x 5)
(y + 3)(y + 5)
If the base of this triangle is 9 and the height is 2, what is the area?
| 17\(\frac{1}{2}\) | |
| 9 | |
| 35 | |
| 49\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 2 = \( \frac{18}{2} \) = 9
The endpoints of this line segment are at (-2, -1) and (2, -5). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -3 | |
| -1 | |
| 3 |
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, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)