| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.54 |
| Score | 0% | 51% |
The endpoints of this line segment are at (-2, -2) and (2, 4). What is the slope of this line?
| 1 | |
| 2\(\frac{1}{2}\) | |
| 3 | |
| 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, -2) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Solve -9c - 6c = -6c + y - 9 for c in terms of y.
| -3\(\frac{1}{4}\)y + 1\(\frac{3}{4}\) | |
| -\(\frac{1}{2}\)y + 3 | |
| -2\(\frac{1}{3}\)y + 3 | |
| \(\frac{3}{7}\)y - 1\(\frac{1}{7}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-9c - 6y = -6c + y - 9
-9c = -6c + y - 9 + 6y
-9c + 6c = y - 9 + 6y
-3c = 7y - 9
c = \( \frac{7y - 9}{-3} \)
c = \( \frac{7y}{-3} \) + \( \frac{-9}{-3} \)
c = -2\(\frac{1}{3}\)y + 3
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
acute, obtuse, right |
|
right, acute, obtuse |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
|
all acute angles equal each other |
|
same-side interior angles are complementary and equal each other |
|
all of the angles formed by a transversal are called interior 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°).
The dimensions of this cylinder are height (h) = 3 and radius (r) = 9. What is the volume?
| 324π | |
| 243π | |
| 72π | |
| 64π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 3)
v = 243π