| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
If the base of this triangle is 9 and the height is 2, what is the area?
| 18 | |
| 9 | |
| 56 | |
| 66 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 2 = \( \frac{18}{2} \) = 9
The dimensions of this cube are height (h) = 5, length (l) = 6, and width (w) = 9. What is the volume?
| 12 | |
| 270 | |
| 210 | |
| 54 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 6 x 9
v = 270
If a = 4, b = 2, c = 6, and d = 4, what is the perimeter of this quadrilateral?
| 22 | |
| 17 | |
| 16 | |
| 26 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 2 + 6 + 4
p = 16
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
h2 x l2 x w2 |
|
lw x wh + lh |
|
2lw x 2wh + 2lh |
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.
The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 2 | |
| y = 1\(\frac{1}{2}\)x - 3 | |
| y = 2x + 2 | |
| 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 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 2