| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
What is the circumference of a circle with a diameter of 9?
| 9π | |
| 8π | |
| 22π | |
| 17π |
The formula for circumference is circle diameter x π:
c = πd
c = 9π
The dimensions of this cube are height (h) = 4, length (l) = 3, and width (w) = 9. What is the surface area?
| 138 | |
| 168 | |
| 318 | |
| 150 |
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 3 x 9) + (2 x 9 x 4) + (2 x 3 x 4)
sa = (54) + (72) + (24)
sa = 150
The endpoints of this line segment are at (-2, 6) and (2, 0). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x + 3 | |
| y = 2x + 4 | |
| y = 3x + 3 | |
| y = 2\(\frac{1}{2}\)x + 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 3. 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, 6) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x + 3
What is 8a4 - 8a4?
| 64a4 | |
| 0 | |
| 0a4 | |
| a48 |
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.
8a4 - 8a4 = 0a4
If side x = 10cm, side y = 6cm, and side z = 10cm what is the perimeter of this triangle?
| 24cm | |
| 34cm | |
| 26cm | |
| 37cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 10cm + 6cm + 10cm = 26cm