| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.44 |
| Score | 0% | 49% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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triangle |
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quadrilateral |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
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slope |
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x-intercept |
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y-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.
Solve 9c - 8c = -7c + 7z + 2 for c in terms of z.
| 3\(\frac{2}{5}\)z + 1\(\frac{4}{5}\) | |
| -4z + 1\(\frac{1}{4}\) | |
| -14z - 9 | |
| \(\frac{15}{16}\)z + \(\frac{1}{8}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
9c - 8z = -7c + 7z + 2
9c = -7c + 7z + 2 + 8z
9c + 7c = 7z + 2 + 8z
16c = 15z + 2
c = \( \frac{15z + 2}{16} \)
c = \( \frac{15z}{16} \) + \( \frac{2}{16} \)
c = \(\frac{15}{16}\)z + \(\frac{1}{8}\)
On this circle, line segment AB is the:
circumference |
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diameter |
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chord |
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radius |
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).
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
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c - a |
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c2 - a2 |
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a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)