| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
acute, right, obtuse |
|
right, obtuse, acute |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
|
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.
If the base of this triangle is 3 and the height is 8, what is the area?
| 12 | |
| 42 | |
| 44 | |
| 30 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 3 x 8 = \( \frac{24}{2} \) = 12
Solve 6a + 3a = 7a - x - 8 for a in terms of x.
| \(\frac{13}{17}\)x + \(\frac{1}{17}\) | |
| -\(\frac{8}{15}\)x + \(\frac{3}{5}\) | |
| -7x - 1 | |
| 4x + 8 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
6a + 3x = 7a - x - 8
6a = 7a - x - 8 - 3x
6a - 7a = -x - 8 - 3x
-a = -4x - 8
a = \( \frac{-4x - 8}{-1} \)
a = \( \frac{-4x}{-1} \) + \( \frac{-8}{-1} \)
a = 4x + 8
The endpoints of this line segment are at (-2, -2) and (2, -4). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x - 3 | |
| y = -2\(\frac{1}{2}\)x + 1 | |
| y = -3x + 0 | |
| y = -1\(\frac{1}{2}\)x + 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 -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