| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Last |
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First |
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Odd |
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Inside |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
If side x = 6cm, side y = 13cm, and side z = 9cm what is the perimeter of this triangle?
| 37cm | |
| 33cm | |
| 32cm | |
| 28cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 13cm + 9cm = 28cm
Solve for z:
-2z - 3 = \( \frac{z}{-5} \)
| -1\(\frac{2}{3}\) | |
| -1\(\frac{1}{2}\) | |
| -5\(\frac{5}{8}\) | |
| \(\frac{7}{9}\) |
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.
-2z - 3 = \( \frac{z}{-5} \)
-5 x (-2z - 3) = z
(-5 x -2z) + (-5 x -3) = z
10z + 15 = z
10z + 15 - z = 0
10z - z = -15
9z = -15
z = \( \frac{-15}{9} \)
z = -1\(\frac{2}{3}\)
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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c2 + a2 |
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c - a |
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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, \(c = \sqrt{a + b}\)
Find the value of c:
2c + y = 8
-4c - y = 1
| -1\(\frac{2}{3}\) | |
| -1\(\frac{4}{7}\) | |
| 1\(\frac{5}{26}\) | |
| -4\(\frac{1}{2}\) |
You need to find the value of c so solve the first equation in terms of y:
2c + y = 8
y = 8 - 2c
then substitute the result (8 - 2c) into the second equation:
-4c - 1(8 - 2c) = 1
-4c + (-1 x 8) + (-1 x -2c) = 1
-4c - 8 + 2c = 1
-4c + 2c = 1 + 8
-2c = 9
c = \( \frac{9}{-2} \)
c = -4\(\frac{1}{2}\)