Answer:
x = - 1
Step-by-step explanation:
3(x + 1) = - 2(x - 1) - 4 ← distribute parenthesis on both sides
3x + 3 = - 2x + 2 - 4
3x + 3 = - 2x - 2 ( add 2x to both sides )
5x + 3 = - 2 ( subtract 3 from both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
Answer:
S = 2 pi (3) squared + 2 pi (3) (14)
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...
A = 2π(3²) . . . . . . matches a term in the last choice
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The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...
A = 2πrh
For the given radius and height, the lateral area in square centimeters is ...
A = 2π(3)(14) . . . . . . matches a term in the last choice
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The total surface area is the sum of the areas of the bases and the lateral area, so is ...
S = 2π(3²) +2π(3)(14) . . . . . matches the last choice
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<em>Comment on answer choices</em>
We could choose the correct answer based solely on the area of the bases of the cylinder.
In this equation x is equal to 5/26.