| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope of this line?
| 2 | |
| -3 | |
| 2\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) |
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, -7) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)The dimensions of this cylinder are height (h) = 8 and radius (r) = 3. What is the volume?
| 576π | |
| 567π | |
| 196π | |
| 72π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 8)
v = 72π
The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the surface area?
| 306π | |
| 120π | |
| 270π | |
| 196π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 7)
sa = 2π(25) + 2π(35)
sa = (2 x 25)π + (2 x 35)π
sa = 50π + 70π
sa = 120π
The endpoints of this line segment are at (-2, -9) and (2, 3). What is the slope-intercept equation for this line?
| y = 3x - 3 | |
| y = 2\(\frac{1}{2}\)x + 0 | |
| y = -2x + 3 | |
| y = -\(\frac{1}{2}\)x - 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, -9) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-9.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x - 3
The dimensions of this cube are height (h) = 8, length (l) = 6, and width (w) = 2. What is the volume?
| 280 | |
| 96 | |
| 210 | |
| 648 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 6 x 2
v = 96