| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.68 |
| Score | 0% | 54% |
On this circle, a line segment connecting point A to point D is called:
circumference |
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chord |
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radius |
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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).
The endpoints of this line segment are at (-2, 5) and (2, -7). What is the slope-intercept equation for this line?
| y = -3x - 1 | |
| y = -2\(\frac{1}{2}\)x + 1 | |
| y = -\(\frac{1}{2}\)x - 4 | |
| 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 -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, 5) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x - 1
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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trisects |
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midpoints |
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intersects |
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.
Simplify (y + 8)(y + 5)
| y2 + 13y + 40 | |
| y2 - 3y - 40 | |
| y2 + 3y - 40 | |
| y2 - 13y + 40 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 8)(y + 5)
(y x y) + (y x 5) + (8 x y) + (8 x 5)
y2 + 5y + 8y + 40
y2 + 13y + 40
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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right, acute, obtuse |
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acute, right, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.