| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
Simplify 8a x 9b.
| 17ab | |
| 72ab | |
| 72\( \frac{b}{a} \) | |
| 72a2b2 |
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.
8a x 9b = (8 x 9) (a x b) = 72ab
The endpoints of this line segment are at (-2, 6) and (2, 2). What is the slope-intercept equation for this line?
| y = -x + 4 | |
| y = -2\(\frac{1}{2}\)x - 3 | |
| y = x - 1 | |
| y = 1\(\frac{1}{2}\)x + 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 4. 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, 6) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Plugging these values into the slope-intercept equation:
y = -x + 4
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
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2(π r2) + 2π rh |
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4π r2 |
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π r2h2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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equal angle |
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equal length |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
A quadrilateral is a shape with __________ sides.
5 |
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4 |
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.