| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
If side x = 8cm, side y = 9cm, and side z = 12cm what is the perimeter of this triangle?
| 29cm | |
| 26cm | |
| 37cm | |
| 33cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 8cm + 9cm + 12cm = 29cm
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 |
|
h x l x w |
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2lw x 2wh + 2lh |
|
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.
Solve for a:
a2 - a - 30 = 0
| -5 or 6 | |
| -8 or -9 | |
| 2 or -9 | |
| 3 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - a - 30 = 0
(a + 5)(a - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 5) or (a - 6) must equal zero:
If (a + 5) = 0, a must equal -5
If (a - 6) = 0, a must equal 6
So the solution is that a = -5 or 6
The endpoints of this line segment are at (-2, 3) and (2, -3). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 3 | |
| y = -x + 1 | |
| y = -\(\frac{1}{2}\)x + 0 | |
| y = -1\(\frac{1}{2}\)x + 0 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 0. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 3) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x + 0
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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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 |
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).