| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
What is 2a + 6a?
| 8 | |
| a2 | |
| 12a | |
| 8a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a + 6a = 8a
On this circle, a line segment connecting point A to point D is called:
diameter |
|
radius |
|
chord |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The endpoints of this line segment are at (-2, 1) and (2, -9). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x - 4 | |
| y = -2\(\frac{1}{2}\)x - 4 | |
| y = -x + 3 | |
| y = -3x - 4 |
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 -4. 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, 1) and (2, -9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x - 4
Factor y2 + 5y - 24
| (y - 3)(y + 8) | |
| (y - 3)(y - 8) | |
| (y + 3)(y - 8) | |
| (y + 3)(y + 8) |
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 -24 as well and sum (Inside, Outside) to equal 5. For this problem, those two numbers are -3 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 5y - 24
y2 + (-3 + 8)y + (-3 x 8)
(y - 3)(y + 8)
If a = c = 1, b = d = 9, and the blue angle = 51°, what is the area of this parallelogram?
| 2 | |
| 9 | |
| 72 | |
| 7 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 9
a = 9