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Questions | 5 | 5 |
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Solve for b:
9b - 3 = 3 + b
\(\frac{3}{4}\) | |
-\(\frac{5}{8}\) | |
-\(\frac{8}{9}\) | |
-\(\frac{4}{9}\) |
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 equal sign and the answer on the other.
9b - 3 = 3 + b
9b = 3 + b + 3
9b - b = 3 + 3
8b = 6
b = \( \frac{6}{8} \)
b = \(\frac{3}{4}\)
The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the surface area?
198π | |
10π | |
12π | |
64π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 4)
sa = 2π(1) + 2π(4)
sa = (2 x 1)π + (2 x 4)π
sa = 2π + 8π
sa = 10π
Simplify (y - 6)(y - 1)
y2 + 5y - 6 | |
y2 + 7y + 6 | |
y2 - 7y + 6 | |
y2 - 5y - 6 |
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 - 6)(y - 1)
(y x y) + (y x -1) + (-6 x y) + (-6 x -1)
y2 - y - 6y + 6
y2 - 7y + 6
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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right angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
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π r2h |
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π r2h2 |
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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.