| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
Solve -8b - 4b = -2b - 9z - 9 for b in terms of z.
| -4z - 6 | |
| 1\(\frac{1}{4}\)z + 1\(\frac{1}{2}\) | |
| \(\frac{5}{6}\)z + 1\(\frac{1}{2}\) | |
| 17z - 2 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-8b - 4z = -2b - 9z - 9
-8b = -2b - 9z - 9 + 4z
-8b + 2b = -9z - 9 + 4z
-6b = -5z - 9
b = \( \frac{-5z - 9}{-6} \)
b = \( \frac{-5z}{-6} \) + \( \frac{-9}{-6} \)
b = \(\frac{5}{6}\)z + 1\(\frac{1}{2}\)
On this circle, a line segment connecting point A to point D is called:
chord |
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circumference |
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diameter |
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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).
If a = c = 4, b = d = 6, and the blue angle = 77°, what is the area of this parallelogram?
| 18 | |
| 24 | |
| 40 | |
| 36 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 6
a = 24
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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the area is length x width |
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all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
A(n) __________ is two expressions separated by an equal sign.
formula |
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equation |
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expression |
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problem |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.