| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
The endpoints of this line segment are at (-2, 1) and (2, 7). What is the slope of this line?
| 2 | |
| 1 | |
| -1\(\frac{1}{2}\) | |
| 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, 1) and (2, 7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (1.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
a2 - c2 |
|
c - a |
|
c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
What is 8a - 5a?
| 40a2 | |
| 3a2 | |
| 3 | |
| 3a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a - 5a = 3a
What is 2a8 + 3a8?
| 5a16 | |
| -1 | |
| 5a8 | |
| -a16 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a8 + 3a8 = 5a8
If a = c = 2, b = d = 4, and the blue angle = 70°, what is the area of this parallelogram?
| 2 | |
| 72 | |
| 28 | |
| 8 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 4
a = 8