| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
The endpoints of this line segment are at (-2, 2) and (2, -10). What is the slope-intercept equation for this line?
| y = 2x - 4 | |
| y = -3x - 4 | |
| y = 2x + 0 | |
| y = -x + 3 |
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 -4. 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, -10) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-10.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x - 4
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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equal angle |
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right angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
If a = 3, b = 1, c = 6, and d = 5, what is the perimeter of this quadrilateral?
| 23 | |
| 15 | |
| 22 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 1 + 6 + 5
p = 15
What is 4a + 8a?
| -4a2 | |
| 12a | |
| 32a2 | |
| 32a |
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.
4a + 8a = 12a
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
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lw x wh + lh |
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h x l x w |
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2lw x 2wh + 2lh |
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.