| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
On this circle, a line segment connecting point A to point D is called:
circumference |
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radius |
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chord |
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diameter |
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, 0) and (2, 6). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x - 1 | |
| y = -2\(\frac{1}{2}\)x - 3 | |
| y = 1\(\frac{1}{2}\)x + 3 | |
| y = -\(\frac{1}{2}\)x + 0 |
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 3. 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, 0) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x + 3
What is 7a + 6a?
| 42a2 | |
| 1 | |
| 13a2 | |
| 13a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a + 6a = 13a
Simplify (5a)(5ab) + (3a2)(4b).
| 13ab2 | |
| -13ab2 | |
| -13a2b | |
| 37a2b |
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)(5ab) + (3a2)(4b)
(5 x 5)(a x a x b) + (3 x 4)(a2 x b)
(25)(a1+1 x b) + (12)(a2b)
25a2b + 12a2b
37a2b
A quadrilateral is a shape with __________ sides.
5 |
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4 |
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3 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.