| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.50 |
| Score | 0% | 50% |
The endpoints of this line segment are at (-2, -2) and (2, 10). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 1 | |
| y = 3x + 4 | |
| y = -2x + 3 | |
| y = 3x + 2 |
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 4. 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, 10) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(10.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x + 4
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 types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
If the base of this triangle is 6 and the height is 5, what is the area?
| 15 | |
| 30 | |
| 60 | |
| 91 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 5 = \( \frac{30}{2} \) = 15
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, obtuse, acute |
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acute, right, obtuse |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.