| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Factor y2 - 3y - 40
| (y + 8)(y - 5) | |
| (y + 8)(y + 5) | |
| (y - 8)(y - 5) | |
| (y - 8)(y + 5) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -40 as well and sum (Inside, Outside) to equal -3. For this problem, those two numbers are -8 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 3y - 40
y2 + (-8 + 5)y + (-8 x 5)
(y - 8)(y + 5)
Solve for z:
-6z + 7 < 2 - 7z
| z < -5 | |
| z < 2\(\frac{1}{2}\) | |
| z < -1\(\frac{1}{8}\) | |
| z < 1\(\frac{1}{7}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-6z + 7 < 2 - 7z
-6z < 2 - 7z - 7
-6z + 7z < 2 - 7
z < -5
A right angle measures:
360° |
|
90° |
|
180° |
|
45° |
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.
If angle a = 64° and angle b = 59° what is the length of angle c?
| 57° | |
| 67° | |
| 109° | |
| 96° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 64° - 59° = 57°
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
|
π r2h2 |
|
4π r2 |
|
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.