| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
A quadrilateral is a shape with __________ sides.
5 |
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2 |
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4 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The endpoints of this line segment are at (-2, 5) and (2, -7). What is the slope of this line?
| -2 | |
| -3 | |
| 3 | |
| -2\(\frac{1}{2}\) |
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, 5) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Find the value of a:
-5a + y = -1
-2a - 5y = 3
| -\(\frac{28}{47}\) | |
| -73 | |
| \(\frac{2}{27}\) |
You need to find the value of a so solve the first equation in terms of y:
-5a + y = -1
y = -1 + 5a
then substitute the result (-1 - -5a) into the second equation:
-2a - 5(-1 + 5a) = 3
-2a + (-5 x -1) + (-5 x 5a) = 3
-2a + 5 - 25a = 3
-2a - 25a = 3 - 5
-27a = -2
a = \( \frac{-2}{-27} \)
a = \(\frac{2}{27}\)
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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factoring |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.