| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
a2 - c2 |
|
c2 - a2 |
|
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, \(c = \sqrt{a + b}\)
If c = -5 and z = 2, what is the value of c(c - z)?
| 288 | |
| -99 | |
| -96 | |
| 35 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
c(c - z)
1(-5)(-5 - 2)
1(-5)(-7)
(-5)(-7)
35
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h x l x w |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Which of the following expressions contains exactly two terms?
monomial |
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quadratic |
|
binomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The dimensions of this cube are height (h) = 3, length (l) = 4, and width (w) = 4. What is the surface area?
| 108 | |
| 280 | |
| 80 | |
| 254 |
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 4 x 4) + (2 x 4 x 3) + (2 x 4 x 3)
sa = (32) + (24) + (24)
sa = 80