| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
The endpoints of this line segment are at (-2, 6) and (2, 2). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x + 0 | |
| y = -x + 4 | |
| y = 1\(\frac{1}{2}\)x - 2 | |
| y = x - 2 |
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, 6) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Plugging these values into the slope-intercept equation:
y = -x + 4
The dimensions of this cube are height (h) = 8, length (l) = 2, and width (w) = 4. What is the volume?
| 48 | |
| 72 | |
| 36 | |
| 64 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 2 x 4
v = 64
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
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c2 - a2 |
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c2 + a2 |
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a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
What is 3a4 - 3a4?
| 0a4 | |
| 9a4 | |
| 0 | |
| 8 |
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.
3a4 - 3a4 = 0a4
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal angle |
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equal length |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.