| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
Solve 7b - 7b = -2b + 4y - 9 for b in terms of y.
| 1\(\frac{2}{9}\)y - 1 | |
| -\(\frac{1}{4}\)y - \(\frac{3}{4}\) | |
| 16y - 4 | |
| \(\frac{7}{8}\)y + \(\frac{1}{4}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
7b - 7y = -2b + 4y - 9
7b = -2b + 4y - 9 + 7y
7b + 2b = 4y - 9 + 7y
9b = 11y - 9
b = \( \frac{11y - 9}{9} \)
b = \( \frac{11y}{9} \) + \( \frac{-9}{9} \)
b = 1\(\frac{2}{9}\)y - 1
If side x = 12cm, side y = 5cm, and side z = 10cm what is the perimeter of this triangle?
| 30cm | |
| 39cm | |
| 27cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 5cm + 10cm = 27cm
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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a2 - c2 |
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c2 + a2 |
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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, \(c = \sqrt{a + b}\)
A(n) __________ is two expressions separated by an equal sign.
equation |
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formula |
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problem |
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expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
The dimensions of this trapezoid are a = 6, b = 3, c = 8, d = 2, and h = 5. What is the area?
| 18 | |
| 22\(\frac{1}{2}\) | |
| 12\(\frac{1}{2}\) | |
| 13\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(3 + 2)(5)
a = ½(5)(5)
a = ½(25) = \( \frac{25}{2} \)
a = 12\(\frac{1}{2}\)