| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
If a = c = 6, b = d = 1, and the blue angle = 75°, what is the area of this parallelogram?
| 36 | |
| 45 | |
| 6 | |
| 24 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 1
a = 6
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c2 - a2 |
|
c2 + a2 |
|
c - a |
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 side a = 4, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{85} \) | |
| \( \sqrt{80} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{52} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 62
c2 = 16 + 36
c2 = 52
c = \( \sqrt{52} \)
If b = 9 and z = 2, what is the value of -2b(b - z)?
| -144 | |
| -60 | |
| -126 | |
| 256 |
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.)
-2b(b - z)
-2(9)(9 - 2)
-2(9)(7)
(-18)(7)
-126
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Last |
|
Odd |
|
Inside |
|
First |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.