| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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parallel |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify (8a)(9ab) - (4a2)(4b).
| 56a2b | |
| 88ab2 | |
| -56ab2 | |
| 88a2b |
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.
(8a)(9ab) - (4a2)(4b)
(8 x 9)(a x a x b) - (4 x 4)(a2 x b)
(72)(a1+1 x b) - (16)(a2b)
72a2b - 16a2b
56a2b
If side a = 5, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{29} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{34} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 32
c2 = 25 + 9
c2 = 34
c = \( \sqrt{34} \)
Solve for y:
y2 + 6y - 7 = 0
| 7 or 7 | |
| 7 or 1 | |
| 7 or -7 | |
| 1 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 6y - 7 = 0
(y - 1)(y + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y + 7) must equal zero:
If (y - 1) = 0, y must equal 1
If (y + 7) = 0, y must equal -7
So the solution is that y = 1 or -7