| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
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the area is length x width |
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the lengths of all sides are equal |
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).
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
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a2 - c2 |
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c - a |
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c2 - a2 |
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, \(c = \sqrt{a + b}\)
What is 5a8 - 6a8?
| 30a8 | |
| a816 | |
| -a16 | |
| -1a8 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a8 - 6a8 = -1a8
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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normalizing |
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factoring |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
What is the circumference of a circle with a radius of 19?
| 12π | |
| 6π | |
| 38π | |
| 4π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 19)
c = 38π