| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
Find the value of c:
3c + z = 5
-2c + 5z = -8
| 3\(\frac{3}{5}\) | |
| \(\frac{37}{50}\) | |
| 1\(\frac{16}{17}\) | |
| -2 |
You need to find the value of c so solve the first equation in terms of z:
3c + z = 5
z = 5 - 3c
then substitute the result (5 - 3c) into the second equation:
-2c + 5(5 - 3c) = -8
-2c + (5 x 5) + (5 x -3c) = -8
-2c + 25 - 15c = -8
-2c - 15c = -8 - 25
-17c = -33
c = \( \frac{-33}{-17} \)
c = 1\(\frac{16}{17}\)
A coordinate grid is composed of which of the following?
all of these |
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origin |
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x-axis |
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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.
The endpoints of this line segment are at (-2, -4) and (2, 4). What is the slope of this line?
| -2 | |
| -\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| 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, -4) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Solve 7a + 7a = 6a - 5x + 8 for a in terms of x.
| -4x + 2 | |
| 11x - 9 | |
| x - \(\frac{8}{11}\) | |
| -12x + 8 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
7a + 7x = 6a - 5x + 8
7a = 6a - 5x + 8 - 7x
7a - 6a = -5x + 8 - 7x
a = -12x + 8
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.