| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.13 |
| Score | 0% | 43% |
The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| 2 | |
| -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, 7) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Find the value of c:
c + x = -2
-4c + 2x = 7
| \(\frac{33}{34}\) | |
| -4\(\frac{8}{9}\) | |
| 4\(\frac{1}{8}\) | |
| -1\(\frac{5}{6}\) |
You need to find the value of c so solve the first equation in terms of x:
c + x = -2
x = -2 - c
then substitute the result (-2 - 1c) into the second equation:
-4c + 2(-2 - c) = 7
-4c + (2 x -2) + (2 x -c) = 7
-4c - 4 - 2c = 7
-4c - 2c = 7 + 4
-6c = 11
c = \( \frac{11}{-6} \)
c = -1\(\frac{5}{6}\)
The formula for the area of a circle is which of the following?
c = π d |
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c = π r2 |
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c = π d2 |
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c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following statements about a triangle is not true?
area = ½bh |
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sum of interior angles = 180° |
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exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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.
Solve for y:
9y - 5 < \( \frac{y}{1} \)
| y < \(\frac{9}{37}\) | |
| y < 1\(\frac{8}{19}\) | |
| y < \(\frac{5}{8}\) | |
| y < -\(\frac{7}{9}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
9y - 5 < \( \frac{y}{1} \)
1 x (9y - 5) < y
(1 x 9y) + (1 x -5) < y
9y - 5 < y
9y - 5 - y < 0
9y - y < 5
8y < 5
y < \( \frac{5}{8} \)
y < \(\frac{5}{8}\)