| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 2. What is the volume?
| 56 | |
| 54 | |
| 63 | |
| 144 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 3 x 2
v = 54
The endpoints of this line segment are at (-2, 3) and (2, 5). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| -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, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (3.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Solve for a:
a2 + 10a + 16 = 0
| -2 or -8 | |
| 3 or 3 | |
| 9 or -5 | |
| -4 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 10a + 16 = 0
(a + 2)(a + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 2) or (a + 8) must equal zero:
If (a + 2) = 0, a must equal -2
If (a + 8) = 0, a must equal -8
So the solution is that a = -2 or -8
Simplify (8a)(2ab) + (3a2)(4b).
| 70a2b | |
| 28a2b | |
| 28ab2 | |
| 4ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(8a)(2ab) + (3a2)(4b)
(8 x 2)(a x a x b) + (3 x 4)(a2 x b)
(16)(a1+1 x b) + (12)(a2b)
16a2b + 12a2b
28a2b
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h |
|
4π r2 |
|
π r2h2 |
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.