| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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right angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
What is 9a + 4a?
| 13a | |
| 13a2 | |
| a2 | |
| 36a |
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 + 4a = 13a
The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 4. What is the surface area?
| 214 | |
| 104 | |
| 100 | |
| 166 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 4) + (2 x 4 x 2) + (2 x 7 x 2)
sa = (56) + (16) + (28)
sa = 100
On this circle, a line segment connecting point A to point D is called:
radius |
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chord |
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diameter |
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circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The endpoints of this line segment are at (-2, 3) and (2, -7). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x + 3 | |
| y = -2\(\frac{1}{2}\)x - 2 | |
| y = 2\(\frac{1}{2}\)x - 3 | |
| y = -2\(\frac{1}{2}\)x + 1 |
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, 3) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x - 2