| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
The endpoints of this line segment are at (-2, 8) and (2, -4). What is the slope-intercept equation for this line?
| y = x - 4 | |
| y = -x + 1 | |
| y = -3x + 2 | |
| y = 3x + 0 |
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 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, 8) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 2
The dimensions of this cube are height (h) = 9, length (l) = 7, and width (w) = 4. What is the volume?
| 252 | |
| 175 | |
| 504 | |
| 14 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 7 x 4
v = 252
If AD = 20 and BD = 10, AB = ?
| 18 | |
| 10 | |
| 11 | |
| 17 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for c:
c + 9 < 2 - c
| c < 1\(\frac{2}{7}\) | |
| c < -3\(\frac{1}{2}\) | |
| c < -\(\frac{3}{5}\) | |
| c < -1\(\frac{1}{4}\) |
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.
c + 9 < 2 - c
c < 2 - c - 9
c + c < 2 - 9
2c < -7
c < \( \frac{-7}{2} \)
c < -3\(\frac{1}{2}\)
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π d |
|
c = π r |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.