| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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trisects |
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bisects |
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intersects |
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.
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
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π r2h2 |
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π r2h |
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2(π r2) + 2π rh |
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.
Simplify (y + 1)(y - 2)
| y2 + 3y + 2 | |
| y2 + y - 2 | |
| y2 - 3y + 2 | |
| y2 - y - 2 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 1)(y - 2)
(y x y) + (y x -2) + (1 x y) + (1 x -2)
y2 - 2y + y - 2
y2 - y - 2
If a = c = 9, b = d = 4, what is the area of this rectangle?
| 18 | |
| 36 | |
| 27 | |
| 1 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 4
a = 36
Solve for b:
-9b + 1 < \( \frac{b}{-8} \)
| b < \(\frac{7}{22}\) | |
| b < -18 | |
| b < \(\frac{8}{71}\) | |
| b < -3\(\frac{6}{7}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-9b + 1 < \( \frac{b}{-8} \)
-8 x (-9b + 1) < b
(-8 x -9b) + (-8 x 1) < b
72b - 8 < b
72b - 8 - b < 0
72b - b < 8
71b < 8
b < \( \frac{8}{71} \)
b < \(\frac{8}{71}\)