| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
If a = c = 2, b = d = 6, what is the area of this rectangle?
| 42 | |
| 56 | |
| 18 | |
| 12 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 6
a = 12
Solve 2c + 5c = 8c + 8y + 4 for c in terms of y.
| \(\frac{7}{9}\)y + \(\frac{8}{9}\) | |
| 2\(\frac{2}{5}\)y - \(\frac{3}{5}\) | |
| -\(\frac{1}{2}\)y - \(\frac{2}{3}\) | |
| -\(\frac{5}{17}\)y + \(\frac{1}{17}\) |
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.
2c + 5y = 8c + 8y + 4
2c = 8c + 8y + 4 - 5y
2c - 8c = 8y + 4 - 5y
-6c = 3y + 4
c = \( \frac{3y + 4}{-6} \)
c = \( \frac{3y}{-6} \) + \( \frac{4}{-6} \)
c = -\(\frac{1}{2}\)y - \(\frac{2}{3}\)
On this circle, line segment AB is the:
radius |
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chord |
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circumference |
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diameter |
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).
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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normalizing |
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deconstructing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for b:
5b - 5 > \( \frac{b}{4} \)
| b > \(\frac{5}{18}\) | |
| b > 1\(\frac{1}{19}\) | |
| b > 1\(\frac{1}{71}\) | |
| b > -1\(\frac{15}{34}\) |
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.
5b - 5 > \( \frac{b}{4} \)
4 x (5b - 5) > b
(4 x 5b) + (4 x -5) > b
20b - 20 > b
20b - 20 - b > 0
20b - b > 20
19b > 20
b > \( \frac{20}{19} \)
b > 1\(\frac{1}{19}\)