| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
If side a = 4, side b = 3, what is the length of the hypotenuse of this right triangle?
| 5 | |
| \( \sqrt{10} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{145} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 32
c2 = 16 + 9
c2 = 25
c = \( \sqrt{25} \)
c = 5
What is 7a9 + 9a9?
| 16a18 | |
| -2 | |
| 63a18 | |
| 16a9 |
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.
7a9 + 9a9 = 16a9
The dimensions of this cylinder are height (h) = 6 and radius (r) = 8. What is the surface area?
| 28π | |
| 224π | |
| 126π | |
| 210π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 6)
sa = 2π(64) + 2π(48)
sa = (2 x 64)π + (2 x 48)π
sa = 128π + 96π
sa = 224π
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, obtuse, acute |
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acute, right, obtuse |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
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.