| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
If a = 6, b = 1, c = 8, and d = 2, what is the perimeter of this quadrilateral?
| 17 | |
| 25 | |
| 14 | |
| 11 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 1 + 8 + 2
p = 17
On this circle, line segment CD is the:
diameter |
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circumference |
|
chord |
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radius |
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).
The endpoints of this line segment are at (-2, -3) and (2, 1). What is the slope-intercept equation for this line?
| y = x + 4 | |
| y = -2\(\frac{1}{2}\)x + 1 | |
| y = 3x + 2 | |
| y = x - 1 |
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
If side a = 9, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{106} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{20} \) | |
| \( \sqrt{113} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 52
c2 = 81 + 25
c2 = 106
c = \( \sqrt{106} \)
Which of the following expressions contains exactly two terms?
quadratic |
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binomial |
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polynomial |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.