| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.74 |
| Score | 0% | 75% |
The dimensions of this cube are height (h) = 8, length (l) = 3, and width (w) = 8. What is the volume?
| 54 | |
| 24 | |
| 45 | |
| 192 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 3 x 8
v = 192
If a = 8, b = 6, c = 1, and d = 1, what is the perimeter of this quadrilateral?
| 22 | |
| 7 | |
| 16 | |
| 14 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 6 + 1 + 1
p = 16
A coordinate grid is composed of which of the following?
x-axis |
|
y-axis |
|
all of these |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The endpoints of this line segment are at (-2, 8) and (2, -2). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x + 0 | |
| y = \(\frac{1}{2}\)x - 2 | |
| y = \(\frac{1}{2}\)x - 3 | |
| y = -2\(\frac{1}{2}\)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, 8) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 3
On this circle, line segment AB is the:
radius |
|
diameter |
|
chord |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).