| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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triangle |
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quadrilateral |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
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π r2h |
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π r2h2 |
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2(π r2) + 2π rh |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, obtuse, acute |
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right, acute, obtuse |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for c:
5c - 5 = 4 + 7c
| -1 | |
| 2 | |
| -4\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
5c - 5 = 4 + 7c
5c = 4 + 7c + 5
5c - 7c = 4 + 5
-2c = 9
c = \( \frac{9}{-2} \)
c = -4\(\frac{1}{2}\)
The endpoints of this line segment are at (-2, 3) and (2, 1). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x + 2 | |
| y = -1\(\frac{1}{2}\)x - 3 | |
| y = x + 3 | |
| y = \(\frac{1}{2}\)x + 4 |
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, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Plugging these values into the slope-intercept equation:
y = -\(\frac{1}{2}\)x + 2