| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
What is the area of a circle with a diameter of 10?
| 2π | |
| 25π | |
| 4π | |
| 9π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
The dimensions of this trapezoid are a = 6, b = 4, c = 9, d = 3, and h = 5. What is the area?
| 12 | |
| 16\(\frac{1}{2}\) | |
| 16 | |
| 17\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(4 + 3)(5)
a = ½(7)(5)
a = ½(35) = \( \frac{35}{2} \)
a = 17\(\frac{1}{2}\)
Which of the following expressions contains exactly two terms?
polynomial |
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quadratic |
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binomial |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The endpoints of this line segment are at (-2, -3) and (2, -1). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x + 3 | |
| y = x + 2 | |
| y = 1\(\frac{1}{2}\)x + 2 | |
| y = \(\frac{1}{2}\)x - 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 -2. 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x - 2
On this circle, a line segment connecting point A to point D is called:
diameter |
|
circumference |
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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).