| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
The formula for the area of a circle is which of the following?
c = π d |
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c = π r |
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c = π r2 |
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c = 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.
The endpoints of this line segment are at (-2, 2) and (2, -4). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x + 3 | |
| y = -2x - 2 | |
| y = -2x + 2 | |
| y = -1\(\frac{1}{2}\)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, 2) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x - 1
Simplify 5a x 2b.
| 7ab | |
| 10a2b2 | |
| 10\( \frac{a}{b} \) | |
| 10ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
5a x 2b = (5 x 2) (a x b) = 10ab
Which of the following expressions contains exactly two terms?
monomial |
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quadratic |
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binomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If side a = 2, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{20} \) | |
| \( \sqrt{26} \) | |
| \( \sqrt{90} \) | |
| \( \sqrt{29} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 52
c2 = 4 + 25
c2 = 29
c = \( \sqrt{29} \)