| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
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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h2 x l2 x w2 |
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2lw x 2wh + 2lh |
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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.
The endpoints of this line segment are at (-2, -4) and (2, 8). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 1 | |
| y = 3x + 2 | |
| y = 2x + 4 | |
| y = -\(\frac{1}{2}\)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, -4) and (2, 8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x + 2
Simplify (2a)(8ab) + (6a2)(6b).
| 52a2b | |
| 52ab2 | |
| 120a2b | |
| -20ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(2a)(8ab) + (6a2)(6b)
(2 x 8)(a x a x b) + (6 x 6)(a2 x b)
(16)(a1+1 x b) + (36)(a2b)
16a2b + 36a2b
52a2b
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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bisects |
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trisects |
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intersects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
If the base of this triangle is 4 and the height is 9, what is the area?
| 70 | |
| 20 | |
| 21 | |
| 18 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 9 = \( \frac{36}{2} \) = 18