| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Solve for y:
y2 - 12y + 27 = 0
| 8 or 4 | |
| 3 or 9 | |
| 5 or -1 | |
| 1 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 12y + 27 = 0
(y - 3)(y - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 3) or (y - 9) must equal zero:
If (y - 3) = 0, y must equal 3
If (y - 9) = 0, y must equal 9
So the solution is that y = 3 or 9
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
|
equal length |
|
parallel |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
The dimensions of this cube are height (h) = 2, length (l) = 2, and width (w) = 1. What is the surface area?
| 78 | |
| 416 | |
| 16 | |
| 348 |
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 2 x 1) + (2 x 1 x 2) + (2 x 2 x 2)
sa = (4) + (4) + (8)
sa = 16
This diagram represents two parallel lines with a transversal. If y° = 154, what is the value of c°?
| 147 | |
| 17 | |
| 164 | |
| 26 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with y° = 154, the value of c° is 26.
A right angle measures:
360° |
|
45° |
|
180° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.