| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
Solve for a:
a2 - a - 2 = 0
| 5 or -4 | |
| -1 or 2 | |
| -3 or -9 | |
| 7 or 2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - a - 2 = 0
(a + 1)(a - 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a - 2) must equal zero:
If (a + 1) = 0, a must equal -1
If (a - 2) = 0, a must equal 2
So the solution is that a = -1 or 2
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
intersects |
|
bisects |
|
midpoints |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
The dimensions of this cylinder are height (h) = 6 and radius (r) = 9. What is the surface area?
| 176π | |
| 6π | |
| 140π | |
| 270π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 6)
sa = 2π(81) + 2π(54)
sa = (2 x 81)π + (2 x 54)π
sa = 162π + 108π
sa = 270π
Simplify (y - 4)(y - 6)
| y2 - 10y + 24 | |
| y2 + 10y + 24 | |
| y2 + 2y - 24 | |
| y2 - 2y - 24 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 4)(y - 6)
(y x y) + (y x -6) + (-4 x y) + (-4 x -6)
y2 - 6y - 4y + 24
y2 - 10y + 24
What is the area of a circle with a radius of 4?
| 49π | |
| 25π | |
| 16π | |
| 8π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π