| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
The endpoints of this line segment are at (-2, 6) and (2, -4). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) | |
| 3 | |
| -3 |
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, 6) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Factor y2 - 4
| (y - 2)(y - 2) | |
| (y + 2)(y - 2) | |
| (y + 2)(y + 2) | |
| (y - 2)(y + 2) |
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 -4 as well and sum (Inside, Outside) to equal 0. For this problem, those two numbers are -2 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 4
y2 + (-2 + 2)y + (-2 x 2)
(y - 2)(y + 2)
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
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the area is length x width |
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all interior angles are right angles |
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).
If side x = 15cm, side y = 10cm, and side z = 11cm what is the perimeter of this triangle?
| 36cm | |
| 23cm | |
| 42cm | |
| 35cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 10cm + 11cm = 36cm
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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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).