| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
What is the circumference of a circle with a diameter of 18?
| 26π | |
| 12π | |
| 22π | |
| 18π |
The formula for circumference is circle diameter x π:
c = πd
c = 18π
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
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x-intercept |
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slope |
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\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Factor y2 - 2y - 8
| (y + 4)(y + 2) | |
| (y - 4)(y + 2) | |
| (y + 4)(y - 2) | |
| (y - 4)(y - 2) |
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 -8 as well and sum (Inside, Outside) to equal -2. For this problem, those two numbers are -4 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 2y - 8
y2 + (-4 + 2)y + (-4 x 2)
(y - 4)(y + 2)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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supplementary, vertical |
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acute, obtuse |
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obtuse, acute |
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).
If side a = 2, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{5} \) | |
| \( \sqrt{32} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{37} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 62
c2 = 4 + 36
c2 = 40
c = \( \sqrt{40} \)