| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
What is 5a4 - 9a4?
| -4a8 | |
| 14 | |
| -4a4 | |
| 14a8 |
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.
5a4 - 9a4 = -4a4
If side a = 2, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{85} \) | |
| \( \sqrt{145} \) | |
| \( \sqrt{17} \) | |
| 10 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 92
c2 = 4 + 81
c2 = 85
c = \( \sqrt{85} \)
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
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c2 + a2 |
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a2 - c2 |
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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, \(c = \sqrt{a + b}\)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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vertical, supplementary |
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acute, obtuse |
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obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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deconstructing |
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squaring |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.