| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
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 - 3 | |
| y = -1\(\frac{1}{2}\)x - 2 | |
| y = -1\(\frac{1}{2}\)x + 1 | |
| y = 2\(\frac{1}{2}\)x + 3 |
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
Simplify (5a)(3ab) - (5a2)(2b).
| 25ab2 | |
| -5ab2 | |
| 5a2b | |
| 25a2b |
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)(3ab) - (5a2)(2b)
(5 x 3)(a x a x b) - (5 x 2)(a2 x b)
(15)(a1+1 x b) - (10)(a2b)
15a2b - 10a2b
5a2b
On this circle, line segment AB is the:
diameter |
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radius |
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circumference |
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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 dimensions of this cylinder are height (h) = 8 and radius (r) = 6. What is the volume?
| 8π | |
| 288π | |
| 81π | |
| 144π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 8)
v = 288π
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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midpoints |
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intersects |
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trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.