| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.46 |
| Score | 0% | 49% |
The endpoints of this line segment are at (-2, -2) and (2, 4). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x - 4 | |
| y = -3x - 3 | |
| y = 3x - 4 | |
| y = 1\(\frac{1}{2}\)x + 1 |
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 1. 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, -2) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x + 1
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r2 |
|
c = π r |
|
c = π d |
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.
The dimensions of this cube are height (h) = 1, length (l) = 3, and width (w) = 9. What is the volume?
| 24 | |
| 27 | |
| 175 | |
| 12 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 3 x 9
v = 27
The dimensions of this cylinder are height (h) = 4 and radius (r) = 8. What is the surface area?
| 112π | |
| 30π | |
| 192π | |
| 96π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 4)
sa = 2π(64) + 2π(32)
sa = (2 x 64)π + (2 x 32)π
sa = 128π + 64π
sa = 192π
The dimensions of this cube are height (h) = 3, length (l) = 2, and width (w) = 1. What is the surface area?
| 54 | |
| 22 | |
| 238 | |
| 228 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 1) + (2 x 1 x 3) + (2 x 2 x 3)
sa = (4) + (6) + (12)
sa = 22