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pav-90 [236]
3 years ago
8

jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters what is the length of Jason's tool

shed? meters
Mathematics
1 answer:
amid [387]3 years ago
7 0
Area = length x width
96 = length x 8
Length =96/8
Length = 12 metres
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gladu [14]

The slope of a line is given by:

m=\frac{y_2-y_1}{x_2-x_1}

Plugging the values of the problem we have:

3=\frac{19-10}{x-4}

Solving for x we have:

\begin{gathered} 3=\frac{19-10}{x-4} \\ 3=\frac{9}{x-4} \\ 3(x-4)=9 \\ x-4=\frac{9}{3} \\ x-4=3 \\ x=3+4 \\ x=7 \end{gathered}

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monitta

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Step-by-step explanation:

Given sequence is:

15,11,7,3,-1

Here

a_1 = 15\\a_2 = 11\\a_3 = 7

First of all, we have to find the common difference

Common difference is the difference between consecutive terms of an arithmetic sequence

So,

d = a_2-a_1 = 11-15 = -4\\d = a_3-a_2 = 7-11 = -4

<u>Recursive Formula:</u>

A recursive formula is used to find the next term of an arithmetic sequence using previous term and common difference

General form of recursive formula for a given common difference d is:

a_n = a_{n-1} + d

Putting the value of d

a_n = a_{n-1} -4

<u>Explicit Formula:</u>

The explicit formula is given by:

a_n = a_1 + (n-1)d

Putting the first term and common difference

a_n = 15 + (n-1)(-4)\\a_n = 15 -4n+4\\a_n = 19-4n

Hence,

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/726990
  • brainly.com/question/725998

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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