| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.27 |
| Score | 0% | 45% |
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
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π r2h2 |
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π r2h |
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4π r2 |
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.
The formula for the area of a circle is which of the following?
c = π d2 |
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c = π d |
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c = π r2 |
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c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
On this circle, line segment AB is the:
radius |
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diameter |
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chord |
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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).
Solve -2b - 8b = -b + 6x + 9 for b in terms of x.
| 11x - 8 | |
| -14x - 9 | |
| -1\(\frac{2}{13}\)x + \(\frac{9}{13}\) | |
| -\(\frac{5}{13}\)x - \(\frac{2}{13}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-2b - 8x = -b + 6x + 9
-2b = -b + 6x + 9 + 8x
-2b + b = 6x + 9 + 8x
-b = 14x + 9
b = \( \frac{14x + 9}{-1} \)
b = \( \frac{14x}{-1} \) + \( \frac{9}{-1} \)
b = -14x - 9
The endpoints of this line segment are at (-2, -4) and (2, 4). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 3 | |
| 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, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)