| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
The dimensions of this trapezoid are a = 5, b = 9, c = 7, d = 5, and h = 4. What is the area?
| 28 | |
| 12 | |
| 17\(\frac{1}{2}\) | |
| 10 |
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(9 + 5)(4)
a = ½(14)(4)
a = ½(56) = \( \frac{56}{2} \)
a = 28
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
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Inside |
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Last |
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First |
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.
Factor y2 + 4y - 21
| (y + 3)(y + 7) | |
| (y - 3)(y - 7) | |
| (y - 3)(y + 7) | |
| (y + 3)(y - 7) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -21 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are -3 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 4y - 21
y2 + (-3 + 7)y + (-3 x 7)
(y - 3)(y + 7)
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
If BD = 21 and AD = 27, AB = ?
| 6 | |
| 10 | |
| 13 | |
| 12 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD