| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
The endpoints of this line segment are at (-2, -2) and (2, 8). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x + 0 | |
| y = 3x - 3 | |
| y = 2\(\frac{1}{2}\)x + 3 | |
| y = -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, -2) and (2, 8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x + 3
The dimensions of this cylinder are height (h) = 8 and radius (r) = 4. What is the surface area?
| 112π | |
| 160π | |
| 96π | |
| 16π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 8)
sa = 2π(16) + 2π(32)
sa = (2 x 16)π + (2 x 32)π
sa = 32π + 64π
sa = 96π
If a = c = 2, b = d = 3, and the blue angle = 57°, what is the area of this parallelogram?
| 81 | |
| 6 | |
| 72 | |
| 18 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 3
a = 6
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
|
First |
|
Last |
|
Inside |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 8. What is the volume?
| 112 | |
| 64 | |
| 72 | |
| 216 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 2 x 8
v = 64