| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
On this circle, line segment CD is the:
radius |
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chord |
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diameter |
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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).
Solve for z:
z2 + 9z + 6 = 2z - 4
| -2 or -5 | |
| 8 or -3 | |
| -3 or -5 | |
| 4 or -5 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 + 9z + 6 = 2z - 4
z2 + 9z + 6 + 4 = 2z
z2 + 9z - 2z + 10 = 0
z2 + 7z + 10 = 0
Next, factor the quadratic equation:
z2 + 7z + 10 = 0
(z + 2)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z + 5) must equal zero:
If (z + 2) = 0, z must equal -2
If (z + 5) = 0, z must equal -5
So the solution is that z = -2 or -5
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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supplementary, vertical |
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vertical, supplementary |
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obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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acute, obtuse, right |
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acute, right, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
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y-intercept |
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slope |
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\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.