| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
If c = -6 and z = 3, what is the value of 9c(c - z)?
| -72 | |
| 200 | |
| -40 | |
| 486 |
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.)
9c(c - z)
9(-6)(-6 - 3)
9(-6)(-9)
(-54)(-9)
486
Solve for b:
-2b - 3 = \( \frac{b}{5} \)
| -1\(\frac{2}{3}\) | |
| 1\(\frac{1}{7}\) | |
| -\(\frac{10}{31}\) | |
| -1\(\frac{4}{11}\) |
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.
-2b - 3 = \( \frac{b}{5} \)
5 x (-2b - 3) = b
(5 x -2b) + (5 x -3) = b
-10b - 15 = b
-10b - 15 - b = 0
-10b - b = 15
-11b = 15
b = \( \frac{15}{-11} \)
b = -1\(\frac{4}{11}\)
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
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c2 - a2 |
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a2 - c2 |
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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, \(c = \sqrt{a + b}\)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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vertical, supplementary |
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obtuse, acute |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
If side x = 6cm, side y = 5cm, and side z = 5cm what is the perimeter of this triangle?
| 16cm | |
| 26cm | |
| 33cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 5cm + 5cm = 16cm