| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
The endpoints of this line segment are at (-2, 10) and (2, -2). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x + 4 | |
| y = 2\(\frac{1}{2}\)x + 2 | |
| y = -3x + 4 | |
| y = -x - 4 |
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 4. 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (10.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 4
Solve for b:
9b + 8 > \( \frac{b}{6} \)
| b > -\(\frac{48}{53}\) | |
| b > -\(\frac{12}{13}\) | |
| b > \(\frac{48}{55}\) | |
| b > \(\frac{9}{53}\) |
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 > sign and the answer on the other.
9b + 8 > \( \frac{b}{6} \)
6 x (9b + 8) > b
(6 x 9b) + (6 x 8) > b
54b + 48 > b
54b + 48 - b > 0
54b - b > -48
53b > -48
b > \( \frac{-48}{53} \)
b > -\(\frac{48}{53}\)
The dimensions of this cylinder are height (h) = 5 and radius (r) = 2. What is the volume?
| 567π | |
| 20π | |
| 125π | |
| 288π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 5)
v = 20π
A coordinate grid is composed of which of the following?
y-axis |
|
all of these |
|
x-axis |
|
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.
What is 7a + 5a?
| 12 | |
| 35a | |
| 12a | |
| 35a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a + 5a = 12a