| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
If side a = 8, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{17} \) | |
| \( \sqrt{97} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{74} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 12
c2 = 64 + 1
c2 = 65
c = \( \sqrt{65} \)
The endpoints of this line segment are at (-2, 4) and (2, -6). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -3 | |
| -2\(\frac{1}{2}\) | |
| 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, 4) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h |
|
π r2h2 |
|
2(π r2) + 2π rh |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
What is 4a5 - 2a5?
| a510 | |
| 8a5 | |
| 2a5 | |
| 2a10 |
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.
4a5 - 2a5 = 2a5
What is 8a + 9a?
| -1 | |
| 72a2 | |
| 17a | |
| -a2 |
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.
8a + 9a = 17a