| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
On this circle, line segment AB is the:
chord |
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diameter |
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radius |
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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).
The endpoints of this line segment are at (-2, 3) and (2, -9). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| -3 | |
| -2 |
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, 3) and (2, -9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Solve for y:
-3y + 1 > \( \frac{y}{-9} \)
| y > \(\frac{9}{26}\) | |
| y > 3\(\frac{3}{5}\) | |
| y > 1\(\frac{13}{23}\) | |
| y > -14 |
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.
-3y + 1 > \( \frac{y}{-9} \)
-9 x (-3y + 1) > y
(-9 x -3y) + (-9 x 1) > y
27y - 9 > y
27y - 9 - y > 0
27y - y > 9
26y > 9
y > \( \frac{9}{26} \)
y > \(\frac{9}{26}\)
A coordinate grid is composed of which of the following?
x-axis |
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y-axis |
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all of these |
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origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
A quadrilateral is a shape with __________ sides.
5 |
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3 |
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4 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.