| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
The dimensions of this cylinder are height (h) = 3 and radius (r) = 3. What is the surface area?
| 90π | |
| 36π | |
| 130π | |
| 120π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 3)
sa = 2π(9) + 2π(9)
sa = (2 x 9)π + (2 x 9)π
sa = 18π + 18π
sa = 36π
The dimensions of this cube are height (h) = 6, length (l) = 9, and width (w) = 2. What is the volume?
| 120 | |
| 108 | |
| 54 | |
| 20 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 9 x 2
v = 108
The endpoints of this line segment are at (-2, -7) and (2, 1). What is the slope-intercept equation for this line?
| y = 3x - 4 | |
| y = 1\(\frac{1}{2}\)x + 2 | |
| y = -\(\frac{1}{2}\)x - 1 | |
| y = 2x - 3 |
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 -3. 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, -7) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Plugging these values into the slope-intercept equation:
y = 2x - 3
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h x l x w |
|
h2 x l2 x w2 |
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.
What is 3a - 6a?
| a2 | |
| -3a2 | |
| -3a | |
| -3 |
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.
3a - 6a = -3a