| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h |
|
π r2h2 |
|
4π r2 |
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.
Solve for z:
z2 + 5z - 39 = 2z + 1
| -6 or -6 | |
| -4 or -6 | |
| 5 or -8 | |
| -1 or -5 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 + 5z - 39 = 2z + 1
z2 + 5z - 39 - 1 = 2z
z2 + 5z - 2z - 40 = 0
z2 + 3z - 40 = 0
Next, factor the quadratic equation:
z2 + 3z - 40 = 0
(z - 5)(z + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z + 8) must equal zero:
If (z - 5) = 0, z must equal 5
If (z + 8) = 0, z must equal -8
So the solution is that z = 5 or -8
A coordinate grid is composed of which of the following?
origin |
|
x-axis |
|
all of these |
|
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.
What is the area of a circle with a radius of 2?
| 4π | |
| 16π | |
| 5π | |
| 36π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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deconstructing |
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normalizing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.