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jeka57 [31]
3 years ago
6

3x-4=2x+1 3x-4-2x=2x+1-2x x-4=1 x-4+4=1-4 x=-3

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

3x-4=2x+1 the answer is x=5

3x-4-2x=2x+1-2x the answer is x=5

x-4=1 the answer is x=5

x-4+4=1-4 the answer is x=-3

x=-3 is already the answer

Step-by-step explanation:

3x-4=2x+1

=3x-2x=1+4

=1x=5

=1x/1=5/1

=x=5

3x-4-2x=2x+1-2x

=3x-2x-2x+2x=1+4

=1x=5

=1x/1=5/1

=x=5

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A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters.Which expression represen
Masteriza [31]

The question is missing the options and the the drawing of the prism. Here is the complete question and the drawing is in the attachment.

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters.

Which expression represents the volume of the prism, in cubic centimeters?

a) 9x² + 7x

b) 14x² + 7x

c) 16x² + 14x

d) 28x² + 14x

Answer: b) 14x² + 7x

Step-by-step explanation: The formula to calculate the volume of a prism is:

V = Ab*h

Where

Ab is area of the base

h is the height of the prism

The base is a regular pentagon, which means that all the 5 sides of it is the same. The apothem of a pentagon is a line segment from the center of the pentagon to its side. The area is:

Ap = \frac{Pa}{2}

where:

P is perimeter

a is apothem

Area of base:

Ab = \frac{Pa}{2}

Ab = \frac{5x.2.8}{2}

Ab = 7x

h = 2x+1

Volume of the prism:

V = Ab.h

V = 7x.(2x+1)

V = 14x² + 7x

The expression that represents the volume of this prism is V = 14x² + 7x cubic inches.

6 0
3 years ago
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swat32
Step 1: Simplify both sides of the equation.<span><span><span><span>14</span>n</span>+5</span>=13</span>Step 2: Subtract 5 from both sides.<span><span><span><span><span>14</span>n</span>+5</span>−5</span>=<span>13−5</span></span><span><span><span>14</span>n</span>=8</span>Step 3: Multiply both sides by 4.<span><span>4*<span>(<span><span>14</span>n</span>)</span></span>=<span><span>(4)</span>*<span>(8)</span></span></span><span>n=32</span>Answer:<span>n=<span>32</span></span>
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Answer:

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Answer:

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