| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.73 |
| Score | 0% | 55% |
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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squaring |
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factoring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
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4π r2 |
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2(π r2) + 2π rh |
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π r2h |
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.
The endpoints of this line segment are at (-2, 0) and (2, -8). What is the slope-intercept equation for this line?
| y = -x + 3 | |
| y = \(\frac{1}{2}\)x - 1 | |
| y = 1\(\frac{1}{2}\)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 -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, 0) and (2, -8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x - 4
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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trisects |
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midpoints |
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bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Solve for a:
a2 + a - 20 = 0
| 4 or -5 | |
| 2 or -3 | |
| 7 or 3 | |
| 3 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + a - 20 = 0
(a - 4)(a + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 4) or (a + 5) must equal zero:
If (a - 4) = 0, a must equal 4
If (a + 5) = 0, a must equal -5
So the solution is that a = 4 or -5