| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
diameter |
|
chord |
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, -4) and (2, 2). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x + 2 | |
| y = -1\(\frac{1}{2}\)x - 3 | |
| y = 1\(\frac{1}{2}\)x - 1 | |
| y = 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 -1. 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, -4) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x - 1
The endpoints of this line segment are at (-2, -6) and (2, 6). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| 3 | |
| -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, -6) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)The dimensions of this cube are height (h) = 6, length (l) = 8, and width (w) = 8. What is the volume?
| 432 | |
| 48 | |
| 384 | |
| 72 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 8 x 8
v = 384
Simplify 8a x 2b.
| 16\( \frac{a}{b} \) | |
| 16ab | |
| 16\( \frac{b}{a} \) | |
| 10ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
8a x 2b = (8 x 2) (a x b) = 16ab