| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
If a = 6, b = 4, c = 9, and d = 6, what is the perimeter of this quadrilateral?
| 25 | |
| 21 | |
| 22 | |
| 24 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 4 + 9 + 6
p = 25
Solve for y:
y2 + 8y + 15 = 0
| 1 or -4 | |
| -3 or -5 | |
| 7 or 4 | |
| 9 or -1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 8y + 15 = 0
(y + 3)(y + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y + 5) must equal zero:
If (y + 3) = 0, y must equal -3
If (y + 5) = 0, y must equal -5
So the solution is that y = -3 or -5
The dimensions of this cube are height (h) = 6, length (l) = 3, and width (w) = 7. What is the surface area?
| 94 | |
| 162 | |
| 168 | |
| 214 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 7) + (2 x 7 x 6) + (2 x 3 x 6)
sa = (42) + (84) + (36)
sa = 162
What is 2a3 - 3a3?
| -1a3 | |
| 5 | |
| 6a3 | |
| a36 |
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.
2a3 - 3a3 = -1a3
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
2(π r2) + 2π rh |
|
π r2h |
|
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.