| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 + a2 |
|
a2 - c2 |
|
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, \(c = \sqrt{a + b}\)
What is the area of a circle with a radius of 4?
| 36π | |
| 49π | |
| 16π | |
| 9π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
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.
Solve for a:
-6a - 8 = -9 - 2a
| -4 | |
| 5 | |
| \(\frac{1}{4}\) | |
| \(\frac{1}{2}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-6a - 8 = -9 - 2a
-6a = -9 - 2a + 8
-6a + 2a = -9 + 8
-4a = -1
a = \( \frac{-1}{-4} \)
a = \(\frac{1}{4}\)
What is 3a + 3a?
| a2 | |
| 9a2 | |
| 6a | |
| 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.
3a + 3a = 6a