| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
What is 6a + 2a?
| a2 | |
| 4 | |
| 8 | |
| 8a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a + 2a = 8a
If angle a = 49° and angle b = 46° what is the length of angle c?
| 97° | |
| 85° | |
| 65° | |
| 96° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 49° - 46° = 85°
On this circle, line segment CD is the:
chord |
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radius |
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circumference |
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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, -1) and (2, 9). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 4 | |
| y = -\(\frac{1}{2}\)x - 3 | |
| y = 3x - 3 | |
| y = -3x + 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 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, -1) and (2, 9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(9.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x + 4
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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midpoints |
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bisects |
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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.