| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
If side x = 6cm, side y = 10cm, and side z = 5cm what is the perimeter of this triangle?
| 36cm | |
| 35cm | |
| 29cm | |
| 21cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 10cm + 5cm = 21cm
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, \(c = \sqrt{a + b}\)
Simplify 9a x 8b.
| 72\( \frac{b}{a} \) | |
| 72\( \frac{a}{b} \) | |
| 72ab | |
| 72a2b2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
9a x 8b = (9 x 8) (a x b) = 72ab
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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equal angle |
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parallel |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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deconstructing |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.