| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
What is the area of a circle with a diameter of 6?
| 9π | |
| 4π | |
| 81π | |
| 2π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
The endpoints of this line segment are at (-2, 0) and (2, 4). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| 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, 0) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (0.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
squaring |
|
normalizing |
|
deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
What is the circumference of a circle with a radius of 15?
| 30π | |
| 3π | |
| 19π | |
| 24π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 15)
c = 30π
The dimensions of this cylinder are height (h) = 5 and radius (r) = 8. What is the surface area?
| 252π | |
| 48π | |
| 208π | |
| 288π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 5)
sa = 2π(64) + 2π(40)
sa = (2 x 64)π + (2 x 40)π
sa = 128π + 80π
sa = 208π