| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
Simplify 6a x 3b.
| 18\( \frac{a}{b} \) | |
| 18ab | |
| 18a2b2 | |
| 9ab |
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.
6a x 3b = (6 x 3) (a x b) = 18ab
If a = 7, b = 4, c = 2, and d = 2, what is the perimeter of this quadrilateral?
| 13 | |
| 15 | |
| 20 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 4 + 2 + 2
p = 15
The endpoints of this line segment are at (-2, 3) and (2, -9). What is the slope-intercept equation for this line?
| y = 3x + 1 | |
| y = -3x - 3 | |
| y = \(\frac{1}{2}\)x + 4 | |
| y = -2x + 4 |
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, 3) and (2, -9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x - 3
On this circle, line segment AB is the:
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).
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal length |
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equal angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.