| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
If BD = 16 and AD = 22, AB = ?
| 13 | |
| 6 | |
| 19 | |
| 15 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSimplify (y - 3)(y + 8)
| y2 - 5y - 24 | |
| y2 - 11y + 24 | |
| y2 + 5y - 24 | |
| y2 + 11y + 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 - 3)(y + 8)
(y x y) + (y x 8) + (-3 x y) + (-3 x 8)
y2 + 8y - 3y - 24
y2 + 5y - 24
The endpoints of this line segment are at (-2, 0) and (2, -4). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| 3 | |
| -3 | |
| -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, 0) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Simplify 8a x 4b.
| 32\( \frac{b}{a} \) | |
| 32ab | |
| 32\( \frac{a}{b} \) | |
| 12ab |
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.
8a x 4b = (8 x 4) (a x b) = 32ab
The formula for the area of a circle is which of the following?
c = π r |
|
c = π r2 |
|
c = π d |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.