| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Solve a + a = -a - 2x + 7 for a in terms of x.
| 8x - 3 | |
| -3x - 3 | |
| -9x + 5 | |
| -1\(\frac{1}{2}\)x + 3\(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
a + x = -a - 2x + 7
a = -a - 2x + 7 - x
a + a = -2x + 7 - x
2a = -3x + 7
a = \( \frac{-3x + 7}{2} \)
a = \( \frac{-3x}{2} \) + \( \frac{7}{2} \)
a = -1\(\frac{1}{2}\)x + 3\(\frac{1}{2}\)
Simplify 2a x 8b.
| 16\( \frac{a}{b} \) | |
| 16ab | |
| 16\( \frac{b}{a} \) | |
| 16a2b2 |
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.
2a x 8b = (2 x 8) (a x b) = 16ab
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
c - a |
|
c2 - a2 |
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a2 - c2 |
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, \(c = \sqrt{a + b}\)
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
right, acute, obtuse |
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right, obtuse, acute |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
What is the circumference of a circle with a radius of 15?
| 30π | |
| 14π | |
| 19π | |
| 9π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 15)
c = 30π