| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
If angle a = 24° and angle b = 25° what is the length of angle c?
| 134° | |
| 75° | |
| 131° | |
| 122° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 25° = 131°
Simplify (y + 9)(y + 2)
| y2 + 11y + 18 | |
| y2 - 7y - 18 | |
| y2 - 11y + 18 | |
| y2 + 7y - 18 |
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 + 9)(y + 2)
(y x y) + (y x 2) + (9 x y) + (9 x 2)
y2 + 2y + 9y + 18
y2 + 11y + 18
A coordinate grid is composed of which of the following?
y-axis |
|
origin |
|
x-axis |
|
all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c2 - a2 |
|
c - a |
|
c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
The endpoints of this line segment are at (-2, -5) and (2, 1). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x - 2 | |
| y = -1\(\frac{1}{2}\)x + 4 | |
| y = -1\(\frac{1}{2}\)x - 4 | |
| y = 1\(\frac{1}{2}\)x + 0 |
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, -5) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x - 2