| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.65 |
| Score | 0% | 53% |
The endpoints of this line segment are at (-2, 1) and (2, 7). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| 2 | |
| -2 | |
| 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, 1) and (2, 7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (1.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Solve 6b - 3b = 2b - 3x - 1 for b in terms of x.
| 3x + 6 | |
| \(\frac{1}{17}\)x + \(\frac{3}{17}\) | |
| x - \(\frac{1}{4}\) | |
| \(\frac{1}{2}\)x - 1 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
6b - 3x = 2b - 3x - 1
6b = 2b - 3x - 1 + 3x
6b - 2b = -3x - 1 + 3x
4b = - 1
b = \( \frac{ - 1}{4} \)
b = \( \frac{}{4} \) + \( \frac{-1}{4} \)
b = x - \(\frac{1}{4}\)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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obtuse, acute |
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vertical, supplementary |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
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2lw x 2wh + 2lh |
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h2 x l2 x w2 |
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lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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isosceles and right |
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equilateral and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.