| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
On this circle, line segment AB is the:
diameter |
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radius |
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chord |
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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 x:
5x - 1 > 1 + 3x
| x > -\(\frac{6}{7}\) | |
| x > 1 | |
| x > -1\(\frac{1}{2}\) | |
| x > 1\(\frac{2}{5}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
5x - 1 > 1 + 3x
5x > 1 + 3x + 1
5x - 3x > 1 + 1
2x > 2
x > \( \frac{2}{2} \)
x > 1
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
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2(π r2) + 2π rh |
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π r2h |
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π r2h2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
A right angle measures:
90° |
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360° |
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45° |
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180° |
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.
The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 4 | |
| y = -1\(\frac{1}{2}\)x - 3 | |
| y = -3x + 3 | |
| y = \(\frac{1}{2}\)x - 2 |
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 -3. 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, 0) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x - 3