| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.56 |
| Score | 0% | 51% |
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
The dimensions of this trapezoid are a = 6, b = 6, c = 9, d = 8, and h = 4. What is the area?
| 19\(\frac{1}{2}\) | |
| 14 | |
| 27\(\frac{1}{2}\) | |
| 28 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(6 + 8)(4)
a = ½(14)(4)
a = ½(56) = \( \frac{56}{2} \)
a = 28
Solve + 5a = -a + 9x - 1 for a in terms of x.
| -1\(\frac{1}{3}\)x - \(\frac{3}{4}\) | |
| -4\(\frac{1}{4}\)x + \(\frac{1}{2}\) | |
| 4x - 1 | |
| -9x + 5 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
+ 5x = -a + 9x - 1
= -a + 9x - 1 - 5x
+ a = 9x - 1 - 5x
a = 4x - 1
Find the value of b:
5b + z = -2
-2b - z = -4
| 1\(\frac{34}{43}\) | |
| 2\(\frac{3}{17}\) | |
| -2 | |
| \(\frac{8}{11}\) |
You need to find the value of b so solve the first equation in terms of z:
5b + z = -2
z = -2 - 5b
then substitute the result (-2 - 5b) into the second equation:
-2b - 1(-2 - 5b) = -4
-2b + (-1 x -2) + (-1 x -5b) = -4
-2b + 2 + 5b = -4
-2b + 5b = -4 - 2
3b = -6
b = \( \frac{-6}{3} \)
b = -2
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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squaring |
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factoring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.