| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.43 |
| Score | 0% | 49% |
On this circle, a line segment connecting point A to point D is called:
chord |
|
diameter |
|
radius |
|
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).
What is the circumference of a circle with a diameter of 4?
| 17π | |
| 4π | |
| 10π | |
| 19π |
The formula for circumference is circle diameter x π:
c = πd
c = 4π
The formula for the area of a circle is which of the following?
c = π d |
|
c = π d2 |
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c = π r |
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c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
The endpoints of this line segment are at (-2, 5) and (2, 3). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x + 1 | |
| y = -\(\frac{1}{2}\)x - 3 | |
| y = 2x + 2 | |
| y = -\(\frac{1}{2}\)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 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, 5) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Plugging these values into the slope-intercept equation:
y = -\(\frac{1}{2}\)x + 4
Simplify (5a)(8ab) - (6a2)(2b).
| 28a2b | |
| 104a2b | |
| 52a2b | |
| -28ab2 |
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.
(5a)(8ab) - (6a2)(2b)
(5 x 8)(a x a x b) - (6 x 2)(a2 x b)
(40)(a1+1 x b) - (12)(a2b)
40a2b - 12a2b
28a2b