| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
The dimensions of this trapezoid are a = 4, b = 6, c = 6, d = 7, and h = 2. What is the area?
| 14 | |
| 13 | |
| 10 | |
| 7 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(6 + 7)(2)
a = ½(13)(2)
a = ½(26) = \( \frac{26}{2} \)
a = 13
If a = c = 1, b = d = 4, and the blue angle = 76°, what is the area of this parallelogram?
| 72 | |
| 4 | |
| 6 | |
| 35 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 4
a = 4
The endpoints of this line segment are at (-2, 1) and (2, -3). What is the slope of this line?
| -2 | |
| 1 | |
| -1 | |
| -\(\frac{1}{2}\) |
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, 1) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)The dimensions of this cube are height (h) = 4, length (l) = 5, and width (w) = 4. What is the volume?
| 80 | |
| 60 | |
| 63 | |
| 28 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 5 x 4
v = 80
The endpoints of this line segment are at (-2, -2) and (2, -4). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x + 4 | |
| y = -2x - 4 | |
| y = x - 1 | |
| 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, -2) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Plugging these values into the slope-intercept equation:
y = -\(\frac{1}{2}\)x - 3