| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
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c - a |
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c2 + a2 |
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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, \(c = \sqrt{a + b}\)
Which of the following expressions contains exactly two terms?
binomial |
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polynomial |
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quadratic |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 1 | |
| -1\(\frac{1}{2}\) | |
| 3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)If a = 4, b = 4, c = 6, and d = 6, what is the perimeter of this quadrilateral?
| 18 | |
| 22 | |
| 27 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 4 + 6 + 6
p = 20