| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c2 - a2 |
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c - a |
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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, \(c = \sqrt{a + b}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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trapezoid |
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triangle |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
What is 2a - 2a?
| 0 | |
| a2 | |
| 0a | |
| 2 |
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.
2a - 2a = 0a
What is 7a + 6a?
| 13a | |
| 1 | |
| 13a2 | |
| 42a |
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.
7a + 6a = 13a
The dimensions of this cube are height (h) = 4, length (l) = 8, and width (w) = 8. What is the surface area?
| 214 | |
| 92 | |
| 256 | |
| 94 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 8) + (2 x 8 x 4) + (2 x 8 x 4)
sa = (128) + (64) + (64)
sa = 256