| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
The endpoints of this line segment are at (-2, 3) and (2, -1). What is the slope of this line?
| -1 | |
| -3 | |
| 1\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) |
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, 3) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)If a = 5, b = 9, c = 9, and d = 9, what is the perimeter of this quadrilateral?
| 18 | |
| 32 | |
| 26 | |
| 28 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 9 + 9 + 9
p = 32
A right angle measures:
90° |
|
180° |
|
45° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
The dimensions of this cylinder are height (h) = 2 and radius (r) = 6. What is the volume?
| 36π | |
| 2π | |
| 343π | |
| 72π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 2)
v = 72π
The endpoints of this line segment are at (-2, -4) and (2, 8). What is the slope-intercept equation for this line?
| y = x + 3 | |
| y = 3x - 4 | |
| y = 3x + 2 | |
| y = 3x - 3 |
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, -4) and (2, 8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x + 2