| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
Find the value of c:
6c + y = 7
9c + y = 3
| -1\(\frac{1}{3}\) | |
| 1\(\frac{1}{18}\) | |
| -1\(\frac{1}{37}\) | |
| 3\(\frac{2}{3}\) |
You need to find the value of c so solve the first equation in terms of y:
6c + y = 7
y = 7 - 6c
then substitute the result (7 - 6c) into the second equation:
9c + 1(7 - 6c) = 3
9c + (1 x 7) + (1 x -6c) = 3
9c + 7 - 6c = 3
9c - 6c = 3 - 7
3c = -4
c = \( \frac{-4}{3} \)
c = -1\(\frac{1}{3}\)
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 |
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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 |
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 endpoints of this line segment are at (-2, 8) and (2, -4). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 4 | |
| y = -2x - 2 | |
| y = 2\(\frac{1}{2}\)x + 4 | |
| y = -3x + 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 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, 8) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 2
A coordinate grid is composed of which of the following?
origin |
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x-axis |
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all of these |
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y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If BD = 26 and AD = 30, AB = ?
| 4 | |
| 9 | |
| 1 | |
| 6 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD