| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
If the base of this triangle is 2 and the height is 6, what is the area?
| 65 | |
| 30 | |
| 49 | |
| 6 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 6 = \( \frac{12}{2} \) = 6
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
|
equilateral and isosceles |
|
equilateral and right |
|
isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Factor y2 + 18y + 81
| (y - 9)(y + 9) | |
| (y + 9)(y + 9) | |
| (y - 9)(y - 9) | |
| (y + 9)(y - 9) |
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 81 as well and sum (Inside, Outside) to equal 18. For this problem, those two numbers are 9 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 18y + 81
y2 + (9 + 9)y + (9 x 9)
(y + 9)(y + 9)
The endpoints of this line segment are at (-2, -5) and (2, 1). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) |
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, -5) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Simplify (y + 3)(y + 5)
| y2 - 2y - 15 | |
| y2 + 8y + 15 | |
| y2 - 8y + 15 | |
| y2 + 2y - 15 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 3)(y + 5)
(y x y) + (y x 5) + (3 x y) + (3 x 5)
y2 + 5y + 3y + 15
y2 + 8y + 15