| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
The dimensions of this cylinder are height (h) = 2 and radius (r) = 3. What is the volume?
| 72π | |
| 18π | |
| 4π | |
| 512π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 2)
v = 18π
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
deconstructing |
|
squaring |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
|
the area is length x width |
|
all interior angles are right angles |
|
the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Factor y2 - 13y + 42
| (y + 7)(y - 6) | |
| (y - 7)(y - 6) | |
| (y - 7)(y + 6) | |
| (y + 7)(y + 6) |
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 42 as well and sum (Inside, Outside) to equal -13. For this problem, those two numbers are -7 and -6. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 13y + 42
y2 + (-7 - 6)y + (-7 x -6)
(y - 7)(y - 6)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
vertical, supplementary |
|
supplementary, vertical |
|
acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).