| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
The endpoints of this line segment are at (-2, 5) and (2, -5). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 0 | |
| y = -2x - 2 | |
| y = -1\(\frac{1}{2}\)x + 1 | |
| 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 0. 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, 5) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 0
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 b = -3 and y = -9, what is the value of -2b(b - y)?
| 49 | |
| 36 | |
| -288 | |
| -189 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-2b(b - y)
-2(-3)(-3 + 9)
-2(-3)(6)
(6)(6)
36
The formula for the area of a circle is which of the following?
a = π d |
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a = π r2 |
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a = π r |
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a = 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.
Which of the following expressions contains exactly two terms?
binomial |
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monomial |
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polynomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.