| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
The dimensions of this cube are height (h) = 8, length (l) = 7, and width (w) = 5. What is the volume?
| 63 | |
| 168 | |
| 240 | |
| 280 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 7 x 5
v = 280
If a = 7, b = 8, c = 2, and d = 5, what is the perimeter of this quadrilateral?
| 29 | |
| 22 | |
| 23 | |
| 24 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 8 + 2 + 5
p = 22
On this circle, line segment AB is the:
chord |
|
circumference |
|
radius |
|
diameter |
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).
The endpoints of this line segment are at (-2, -10) and (2, 2). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 3 | |
| 2\(\frac{1}{2}\) | |
| 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, -10) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-10.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Solve for x:
-8x - 6 = 8 + 6x
| -1\(\frac{1}{2}\) | |
| -1 | |
| \(\frac{5}{7}\) | |
| 1 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-8x - 6 = 8 + 6x
-8x = 8 + 6x + 6
-8x - 6x = 8 + 6
-14x = 14
x = \( \frac{14}{-14} \)
x = -1