| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 3. What is the volume?
| 144π | |
| 8π | |
| 9π | |
| 192π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 1)
v = 9π
Which of the following is not required to define the slope-intercept equation for a line?
slope |
|
\({\Delta y \over \Delta x}\) |
|
y-intercept |
|
x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Solve for b:
b2 - 2b - 63 = 0
| -2 or -3 | |
| 9 or 7 | |
| -7 or 9 | |
| 1 or 1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 2b - 63 = 0
(b + 7)(b - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 7) or (b - 9) must equal zero:
If (b + 7) = 0, b must equal -7
If (b - 9) = 0, b must equal 9
So the solution is that b = -7 or 9
A coordinate grid is composed of which of the following?
x-axis |
|
all of these |
|
origin |
|
y-axis |
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 dimensions of this trapezoid are a = 5, b = 9, c = 6, d = 7, and h = 4. What is the area?
| 32 | |
| 10\(\frac{1}{2}\) | |
| 18 | |
| 32\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(9 + 7)(4)
a = ½(16)(4)
a = ½(64) = \( \frac{64}{2} \)
a = 32