| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
The dimensions of this cube are height (h) = 4, length (l) = 8, and width (w) = 7. What is the volume?
| 324 | |
| 30 | |
| 224 | |
| 336 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 8 x 7
v = 224
On this circle, line segment AB is the:
diameter |
|
radius |
|
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).
The endpoints of this line segment are at (-2, 6) and (2, -6). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| -3 | |
| \(\frac{1}{2}\) | |
| -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, 6) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)What is the circumference of a circle with a radius of 10?
| 10π | |
| 34π | |
| 20π | |
| 30π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 10)
c = 20π
Simplify (y - 3)(y - 4)
| y2 - y - 12 | |
| y2 - 7y + 12 | |
| y2 + y - 12 | |
| y2 + 7y + 12 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 3)(y - 4)
(y x y) + (y x -4) + (-3 x y) + (-3 x -4)
y2 - 4y - 3y + 12
y2 - 7y + 12