| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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parallel |
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equal angle |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify (5a)(4ab) - (9a2)(9b).
| -61a2b | |
| 61ab2 | |
| 101ab2 | |
| 101a2b |
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.
(5a)(4ab) - (9a2)(9b)
(5 x 4)(a x a x b) - (9 x 9)(a2 x b)
(20)(a1+1 x b) - (81)(a2b)
20a2b - 81a2b
-61a2b
Solve for y:
y2 + 7y + 12 = 0
| -1 or -5 | |
| -3 or -4 | |
| 7 or 3 | |
| -2 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 7y + 12 = 0
(y + 3)(y + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y + 4) must equal zero:
If (y + 3) = 0, y must equal -3
If (y + 4) = 0, y must equal -4
So the solution is that y = -3 or -4
Simplify (y - 5)(y - 2)
| y2 - 7y + 10 | |
| y2 + 7y + 10 | |
| y2 + 3y - 10 | |
| y2 - 3y - 10 |
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:
(y - 5)(y - 2)
(y x y) + (y x -2) + (-5 x y) + (-5 x -2)
y2 - 2y - 5y + 10
y2 - 7y + 10
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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acute, obtuse, right |
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right, acute, obtuse |
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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°.