| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.48 |
| Score | 0% | 50% |
The endpoints of this line segment are at (-2, 2) and (2, 4). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) | |
| -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, 2) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (2.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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acute, obtuse, right |
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right, acute, obtuse |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Find the value of a:
-4a + y = 8
8a - 6y = -8
| -1\(\frac{2}{11}\) | |
| -54 | |
| -2\(\frac{1}{2}\) |
You need to find the value of a so solve the first equation in terms of y:
-4a + y = 8
y = 8 + 4a
then substitute the result (8 - -4a) into the second equation:
8a - 6(8 + 4a) = -8
8a + (-6 x 8) + (-6 x 4a) = -8
8a - 48 - 24a = -8
8a - 24a = -8 + 48
-16a = 40
a = \( \frac{40}{-16} \)
a = -2\(\frac{1}{2}\)
The formula for the area of a circle is which of the following?
c = π r |
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c = π d |
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c = π d2 |
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c = π r2 |
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.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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acute, obtuse |
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supplementary, vertical |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).