| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
If the base of this triangle is 2 and the height is 9, what is the area?
| 9 | |
| 66 | |
| 84\(\frac{1}{2}\) | |
| 70 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 9 = \( \frac{18}{2} \) = 9
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the area is length x width |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Solve for c:
c2 + 3c - 41 = -c + 4
| 5 or -9 | |
| 2 or 1 | |
| 5 or 1 | |
| 3 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
c2 + 3c - 41 = -c + 4
c2 + 3c - 41 - 4 = -c
c2 + 3c + c - 45 = 0
c2 + 4c - 45 = 0
Next, factor the quadratic equation:
c2 + 4c - 45 = 0
(c - 5)(c + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 5) or (c + 9) must equal zero:
If (c - 5) = 0, c must equal 5
If (c + 9) = 0, c must equal -9
So the solution is that c = 5 or -9
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
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2lw x 2wh + 2lh |
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h x l x w |
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lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Which of the following expressions contains exactly two terms?
monomial |
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polynomial |
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binomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.