| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
The endpoints of this line segment are at (-2, 0) and (2, 6). What is the slope of this line?
| -2 | |
| 3 | |
| 1\(\frac{1}{2}\) | |
| 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, 0) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)What is 9a + 3a?
| 6a2 | |
| 12a | |
| a2 | |
| 6 |
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.
9a + 3a = 12a
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 |
|
same-side interior angles are complementary and equal each other |
|
angles in the same position on different parallel lines are called corresponding angles |
|
all acute angles equal each other |
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°).
What is the circumference of a circle with a diameter of 17?
| 22π | |
| 17π | |
| 16π | |
| 32π |
The formula for circumference is circle diameter x π:
c = πd
c = 17π
Solve for z:
-7z + 8 < -3 + 8z
| z < -2\(\frac{1}{2}\) | |
| z < -1\(\frac{4}{5}\) | |
| z < \(\frac{11}{15}\) | |
| z < -2 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-7z + 8 < -3 + 8z
-7z < -3 + 8z - 8
-7z - 8z < -3 - 8
-15z < -11
z < \( \frac{-11}{-15} \)
z < \(\frac{11}{15}\)