| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
|
π r2h |
|
2(π r2) + 2π rh |
|
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 endpoints of this line segment are at (-2, -3) and (2, 1). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x - 3 | |
| y = x - 1 | |
| y = -2\(\frac{1}{2}\)x + 0 | |
| y = 3x + 1 |
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 -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, -3) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x - 1
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 |
|
h2 x l2 x w2 |
|
h x l x w |
|
lw x wh + lh |
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 8a6 + 4a6?
| 12 | |
| 4 | |
| 12a6 | |
| a612 |
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.
8a6 + 4a6 = 12a6
If side x = 12cm, side y = 7cm, and side z = 10cm what is the perimeter of this triangle?
| 33cm | |
| 34cm | |
| 29cm | |
| 37cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 7cm + 10cm = 29cm