| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Factor y2 + 9y + 18
| (y + 3)(y - 6) | |
| (y - 3)(y - 6) | |
| (y + 3)(y + 6) | |
| (y - 3)(y + 6) |
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 18 as well and sum (Inside, Outside) to equal 9. For this problem, those two numbers are 3 and 6. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 9y + 18
y2 + (3 + 6)y + (3 x 6)
(y + 3)(y + 6)
If a = c = 6, b = d = 1, and the blue angle = 79°, what is the area of this parallelogram?
| 16 | |
| 49 | |
| 6 | |
| 32 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 1
a = 6
The endpoints of this line segment are at (-2, -2) and (2, 4). 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, -2) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)What is the circumference of a circle with a diameter of 18?
| 18π | |
| 16π | |
| 11π | |
| 2π |
The formula for circumference is circle diameter x π:
c = πd
c = 18π
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
|
exterior angle = sum of two adjacent interior angles |
|
perimeter = sum of side lengths |
|
area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.