| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
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c2 - a2 |
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c2 + a2 |
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a2 - c2 |
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, \(c = \sqrt{a + b}\)
Find the value of a:
5a + z = -3
6a + 7z = 4
| -3\(\frac{3}{14}\) | |
| -\(\frac{28}{29}\) | |
| -\(\frac{3}{5}\) | |
| -\(\frac{25}{29}\) |
You need to find the value of a so solve the first equation in terms of z:
5a + z = -3
z = -3 - 5a
then substitute the result (-3 - 5a) into the second equation:
6a + 7(-3 - 5a) = 4
6a + (7 x -3) + (7 x -5a) = 4
6a - 21 - 35a = 4
6a - 35a = 4 + 21
-29a = 25
a = \( \frac{25}{-29} \)
a = -\(\frac{25}{29}\)
If a = c = 4, b = d = 1, and the blue angle = 78°, what is the area of this parallelogram?
| 48 | |
| 8 | |
| 5 | |
| 4 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 1
a = 4
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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acute, obtuse |
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obtuse, acute |
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supplementary, vertical |
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).
Which of the following expressions contains exactly two terms?
binomial |
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quadratic |
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polynomial |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.