| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Factor y2 - 11y + 24
| (y + 8)(y + 3) | |
| (y - 8)(y - 3) | |
| (y + 8)(y - 3) | |
| (y - 8)(y + 3) |
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 24 as well and sum (Inside, Outside) to equal -11. For this problem, those two numbers are -8 and -3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 11y + 24
y2 + (-8 - 3)y + (-8 x -3)
(y - 8)(y - 3)
The endpoints of this line segment are at (-2, -6) and (2, -2). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| -3 | |
| \(\frac{1}{2}\) | |
| 1 |
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, -6) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)If a = c = 3, b = d = 4, and the blue angle = 78°, what is the area of this parallelogram?
| 16 | |
| 3 | |
| 8 | |
| 12 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
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).
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
lw x wh + lh |
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2lw x 2wh + 2lh |
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h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.