| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
On this circle, line segment CD is the:
circumference |
|
radius |
|
chord |
|
diameter |
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).
Simplify 6a x 3b.
| 9ab | |
| 18a2b2 | |
| 18\( \frac{b}{a} \) | |
| 18ab |
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.
6a x 3b = (6 x 3) (a x b) = 18ab
The dimensions of this cube are height (h) = 3, length (l) = 5, and width (w) = 1. What is the surface area?
| 46 | |
| 142 | |
| 192 | |
| 288 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 5 x 1) + (2 x 1 x 3) + (2 x 5 x 3)
sa = (10) + (6) + (30)
sa = 46
If BD = 25 and AD = 26, AB = ?
| 2 | |
| 13 | |
| 7 | |
| 1 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD
The endpoints of this line segment are at (-2, -3) and (2, 7). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x - 2 | |
| y = -1\(\frac{1}{2}\)x - 3 | |
| y = 2\(\frac{1}{2}\)x + 2 | |
| y = x - 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 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, 7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x + 2