| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.71 |
| Score | 0% | 54% |
The endpoints of this line segment are at (-2, 3) and (2, -3). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) |
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, 3) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Which of the following statements about parallel lines with a transversal is not correct?
all of the angles formed by a transversal are called interior angles |
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all acute angles equal each other |
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same-side interior angles are complementary and equal each other |
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angles in the same position on different parallel lines are called corresponding angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
Factor y2 + 6y - 7
| (y - 1)(y + 7) | |
| (y + 1)(y + 7) | |
| (y + 1)(y - 7) | |
| (y - 1)(y - 7) |
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 -7 as well and sum (Inside, Outside) to equal 6. For this problem, those two numbers are -1 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 6y - 7
y2 + (-1 + 7)y + (-1 x 7)
(y - 1)(y + 7)
What is 5a6 - 3a6?
| 2a12 | |
| 2a6 | |
| a612 | |
| 8 |
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.
5a6 - 3a6 = 2a6
The dimensions of this cylinder are height (h) = 5 and radius (r) = 9. What is the volume?
| 81π | |
| 405π | |
| 1π | |
| 512π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 5)
v = 405π