| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
If a = c = 3, b = d = 9, and the blue angle = 57°, what is the area of this parallelogram?
| 27 | |
| 7 | |
| 2 | |
| 48 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 9
a = 27
If BD = 20 and AD = 26, AB = ?
| 8 | |
| 2 | |
| 6 | |
| 20 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSimplify 3a x 4b.
| 7ab | |
| 12\( \frac{b}{a} \) | |
| 12ab | |
| 12\( \frac{a}{b} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
3a x 4b = (3 x 4) (a x b) = 12ab
The endpoints of this line segment are at (-2, -5) and (2, 3). What is the slope-intercept equation for this line?
| y = 3x - 3 | |
| y = 2x - 1 | |
| y = -\(\frac{1}{2}\)x + 0 | |
| y = -x + 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -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, -5) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Plugging these values into the slope-intercept equation:
y = 2x - 1
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
normalizing |
|
squaring |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.