| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
The formula for the area of a circle is which of the following?
a = π r |
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a = π d |
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a = π r2 |
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a = π d2 |
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.
Factor y2 + 2y + 1
| (y + 1)(y - 1) | |
| (y + 1)(y + 1) | |
| (y - 1)(y + 1) | |
| (y - 1)(y - 1) |
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 1 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are 1 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 2y + 1
y2 + (1 + 1)y + (1 x 1)
(y + 1)(y + 1)
If a = c = 5, b = d = 6, and the blue angle = 70°, what is the area of this parallelogram?
| 24 | |
| 2 | |
| 30 | |
| 63 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 6
a = 30
The endpoints of this line segment are at (-2, -1) and (2, 1). What is the slope-intercept equation for this line?
| y = -3x - 4 | |
| y = -3x - 1 | |
| y = \(\frac{1}{2}\)x + 0 | |
| y = -1\(\frac{1}{2}\)x + 4 |
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 0. 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, -1) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x + 0
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, acute, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.