| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
A right angle measures:
90° |
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360° |
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180° |
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45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
The endpoints of this line segment are at (-2, 3) and (2, -1). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 2 | |
| y = -x + 1 | |
| y = 1\(\frac{1}{2}\)x + 3 | |
| y = -3x + 0 |
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 1. 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, 3) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Plugging these values into the slope-intercept equation:
y = -x + 1
What is 9a4 - 5a4?
| 45a8 | |
| 45a4 | |
| 4a4 | |
| a48 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
9a4 - 5a4 = 4a4
On this circle, a line segment connecting point A to point D is called:
chord |
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radius |
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diameter |
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circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If a = c = 1, b = d = 2, what is the area of this rectangle?
| 24 | |
| 2 | |
| 56 | |
| 32 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2