| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
On this circle, line segment AB is the:
radius |
|
circumference |
|
diameter |
|
chord |
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 dimensions of this cylinder are height (h) = 2 and radius (r) = 7. What is the surface area?
| 36π | |
| 126π | |
| 108π | |
| 30π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 2)
sa = 2π(49) + 2π(14)
sa = (2 x 49)π + (2 x 14)π
sa = 98π + 28π
sa = 126π
The endpoints of this line segment are at (-2, 1) and (2, 5). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| 3 | |
| 1 |
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, 1) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)The formula for the area of a circle is which of the following?
a = π d |
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a = π r |
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a = π d2 |
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a = π r2 |
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.
What is 4a - 6a?
| -2a2 | |
| a2 | |
| -2a | |
| 10 |
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.
4a - 6a = -2a