| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
If angle a = 28° and angle b = 36° what is the length of angle c?
| 103° | |
| 74° | |
| 121° | |
| 116° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 28° - 36° = 116°
The endpoints of this line segment are at (-2, 3) and (2, -5). What is the slope of this line?
| -2 | |
| 1 | |
| 2 | |
| 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, 3) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Factor y2 - 2y - 8
| (y + 4)(y + 2) | |
| (y - 4)(y + 2) | |
| (y - 4)(y - 2) | |
| (y + 4)(y - 2) |
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 -8 as well and sum (Inside, Outside) to equal -2. For this problem, those two numbers are -4 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 2y - 8
y2 + (-4 + 2)y + (-4 x 2)
(y - 4)(y + 2)
If a = 7, b = 7, c = 2, and d = 5, what is the perimeter of this quadrilateral?
| 17 | |
| 20 | |
| 14 | |
| 21 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 7 + 2 + 5
p = 21
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
x-intercept |
|
slope |
|
\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.