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Radda [10]
3 years ago
5

Answer both a and b.

Mathematics
1 answer:
Kay [80]3 years ago
3 0

a. When v = c, then v^2 = c^2. The fraction v^2/c^2 becomes 1. The inside of the root is 1 - 1 which equals zero. Square root of zero is zero, and zero times L0, no matter what value L0 has, is zero. Therefore, when v = c, the left side equals zero.

b. When v = 0, and c is positive, v/c = v^2/c^2 = 0. By subtracting v^2/c^2, which is zero for v = 0, from 1, you get 1. Square root of 1 is 1. Then you multiply that by L0 to get L0. The greatest possible value of the left expression is L0.

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<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

\sf{\rightarrow{d =  kt}}

\sf\rightarrow{20  = 2k }

\sf\rightarrow{K= \frac{20}{2} }

\sf\rightarrow{K={\color{magenta}{10}}}

<h2><u>Answer</u>:-</h2>
  • Therefore, the constant of variation is 10.
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3 years ago
Mr. Trainer is building a bookcase. He has two wooden boards that are each 8 feet long. He needs to cut the wooden boards into p
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Answer:

12

Step-by-step explanation:

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1\ \text{foot}=12\ \text{inches}\\\Rightarrow 8\ \text{feet}=8\times 12=96\ \text{inches}

One cut is 16 inches

So, we divide the length of the board by 16

\dfrac{96}{16}=6

So, one board is cut into 6 pieces.

The other board is also 8 feet long.

So, the number of pieces the other board is cut into is also 6.

Hence, a total of 6+6=12 pieces of each 16 inches long can be cut from the two boards.

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So, 45,000 + 1350 = 46,350

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Answer:

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Combine like-terms within the parentheses, then distribute -2.

Hope this helps! :)

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