| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
Factor y2 - 12y + 32
| (y + 8)(y - 4) | |
| (y + 8)(y + 4) | |
| (y - 8)(y - 4) | |
| (y - 8)(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 32 as well and sum (Inside, Outside) to equal -12. For this problem, those two numbers are -8 and -4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 12y + 32
y2 + (-8 - 4)y + (-8 x -4)
(y - 8)(y - 4)
The endpoints of this line segment are at (-2, 5) and (2, -5). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -3 | |
| 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, 5) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)If side a = 6, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{72} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 92
c2 = 36 + 81
c2 = 117
c = \( \sqrt{117} \)
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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parallel |
|
equal length |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
If a = c = 3, b = d = 4, and the blue angle = 73°, what is the area of this parallelogram?
| 12 | |
| 18 | |
| 45 | |
| 32 |
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