| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
a2 - c2 |
|
c - a |
|
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 (5a)(2ab) + (8a2)(6b).
| 58a2b | |
| -38a2b | |
| 98ab2 | |
| -38ab2 |
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.
(5a)(2ab) + (8a2)(6b)
(5 x 2)(a x a x b) + (8 x 6)(a2 x b)
(10)(a1+1 x b) + (48)(a2b)
10a2b + 48a2b
58a2b
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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exponents |
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addition |
|
pairs |
When solving an equation with two variables, 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.)
If a = c = 2, b = d = 9, and the blue angle = 52°, what is the area of this parallelogram?
| 20 | |
| 1 | |
| 18 | |
| 63 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 9
a = 18
If a = c = 4, b = d = 7, what is the area of this rectangle?
| 14 | |
| 45 | |
| 28 | |
| 24 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 7
a = 28