| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
On this circle, line segment AB is the:
diameter |
|
circumference |
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radius |
|
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).
What is the area of a circle with a radius of 4?
| 9π | |
| 5π | |
| 16π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π
A right angle measures:
45° |
|
180° |
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360° |
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90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve 9a + 2a = -6a - 3x + 9 for a in terms of x.
| -\(\frac{1}{13}\)x + \(\frac{4}{13}\) | |
| -\(\frac{1}{3}\)x + \(\frac{3}{5}\) | |
| -\(\frac{1}{11}\)x - \(\frac{3}{11}\) | |
| \(\frac{3}{11}\)x + \(\frac{2}{11}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
9a + 2x = -6a - 3x + 9
9a = -6a - 3x + 9 - 2x
9a + 6a = -3x + 9 - 2x
15a = -5x + 9
a = \( \frac{-5x + 9}{15} \)
a = \( \frac{-5x}{15} \) + \( \frac{9}{15} \)
a = -\(\frac{1}{3}\)x + \(\frac{3}{5}\)
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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\({\Delta y \over \Delta x}\) |
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y-intercept |
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x-intercept |
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.