| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
If the base of this triangle is 1 and the height is 2, what is the area?
| 35 | |
| 77 | |
| 1 | |
| 60 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 2 = \( \frac{2}{2} \) = 1
The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x - 3 | |
| y = -3x - 3 | |
| y = -2\(\frac{1}{2}\)x + 2 | |
| y = \(\frac{1}{2}\)x - 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 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, 7) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 2
If angle a = 62° and angle b = 30° what is the length of angle c?
| 71° | |
| 88° | |
| 113° | |
| 108° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 62° - 30° = 88°
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
squaring |
|
factoring |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for a:
7a + 2 = -5 + a
| -\(\frac{1}{2}\) | |
| -1\(\frac{1}{6}\) | |
| -1 | |
| \(\frac{2}{9}\) |
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 equal sign and the answer on the other.
7a + 2 = -5 + a
7a = -5 + a - 2
7a - a = -5 - 2
6a = -7
a = \( \frac{-7}{6} \)
a = -1\(\frac{1}{6}\)