| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Factor y2 - 9y + 20
| (y + 5)(y + 4) | |
| (y - 5)(y + 4) | |
| (y - 5)(y - 4) | |
| (y + 5)(y - 4) |
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 20 as well and sum (Inside, Outside) to equal -9. For this problem, those two numbers are -5 and -4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 9y + 20
y2 + (-5 - 4)y + (-5 x -4)
(y - 5)(y - 4)
The dimensions of this cylinder are height (h) = 1 and radius (r) = 9. What is the surface area?
| 12π | |
| 224π | |
| 180π | |
| 4π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 1)
sa = 2π(81) + 2π(9)
sa = (2 x 81)π + (2 x 9)π
sa = 162π + 18π
sa = 180π
Solve for a:
a2 + 6a + 8 = 0
| -2 or -4 | |
| 4 or -6 | |
| 5 or -9 | |
| 3 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 6a + 8 = 0
(a + 2)(a + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 2) or (a + 4) must equal zero:
If (a + 2) = 0, a must equal -2
If (a + 4) = 0, a must equal -4
So the solution is that a = -2 or -4
If a = c = 4, b = d = 1, and the blue angle = 76°, what is the area of this parallelogram?
| 15 | |
| 28 | |
| 16 | |
| 4 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 1
a = 4
What is the circumference of a circle with a radius of 6?
| 1π | |
| 28π | |
| 12π | |
| 20π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 6)
c = 12π