| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
If side a = 7, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{41} \) | |
| \( \sqrt{74} \) | |
| \( \sqrt{117} \) | |
| \( \sqrt{113} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 52
c2 = 49 + 25
c2 = 74
c = \( \sqrt{74} \)
What is the circumference of a circle with a radius of 3?
| 24π | |
| 2π | |
| 6π | |
| 38π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 3)
c = 6π
Solve for x:
-4x - 2 = 8 + 5x
| 1 | |
| 1\(\frac{3}{4}\) | |
| 1\(\frac{1}{3}\) | |
| -1\(\frac{1}{9}\) |
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.
-4x - 2 = 8 + 5x
-4x = 8 + 5x + 2
-4x - 5x = 8 + 2
-9x = 10
x = \( \frac{10}{-9} \)
x = -1\(\frac{1}{9}\)
What is 4a4 + 4a4?
| 16a8 | |
| 0 | |
| 16a4 | |
| 8a4 |
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.
4a4 + 4a4 = 8a4
If a = 1, b = 9, c = 6, and d = 3, what is the perimeter of this quadrilateral?
| 21 | |
| 14 | |
| 19 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 9 + 6 + 3
p = 19