| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
The endpoints of this line segment are at (-2, 3) and (2, -3). What is the slope of this line?
| 3 | |
| -\(\frac{1}{2}\) | |
| -1 | |
| -1\(\frac{1}{2}\) |
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, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)What is the area of a circle with a radius of 2?
| 4π | |
| 49π | |
| 64π | |
| 9π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
If side a = 8, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{162} \) | |
| \( \sqrt{90} \) | |
| \( \sqrt{18} \) | |
| \( \sqrt{65} \) |
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 = \( \sqrt{65} \)
What is 7a7 + 6a7?
| a14 | |
| 13a7 | |
| 42a7 | |
| 13a14 |
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.
7a7 + 6a7 = 13a7
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
4π r2 |
|
π r2h2 |
|
π r2h |
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.