| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
|
4π r2 |
|
π r2h |
|
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 9a - 3a?
| 6a | |
| 12a2 | |
| 6 | |
| 27a2 |
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.
9a - 3a = 6a
Solve for x:
x2 - x - 56 = 0
| -8 or -8 | |
| 9 or 6 | |
| -7 or 8 | |
| 9 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - x - 56 = 0
(x + 7)(x - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 7) or (x - 8) must equal zero:
If (x + 7) = 0, x must equal -7
If (x - 8) = 0, x must equal 8
So the solution is that x = -7 or 8
A coordinate grid is composed of which of the following?
x-axis |
|
all of these |
|
origin |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If side a = 4, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{13} \) | |
| \( \sqrt{10} \) | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 92
c2 = 16 + 81
c2 = 97
c = \( \sqrt{97} \)