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IgorLugansk [536]
3 years ago
13

the side length ofthe square porch behind macis house is (3x + 2) feet. The porch has a perimeter of (14x - 2) feet. What are th

e dimensions of the porch
Mathematics
1 answer:
andriy [413]3 years ago
5 0

Answer:

The porch is 17 ft by 17 ft

Step-by-step explanation:

The perimeter of a square is

P = 4s where s is the side length

P = 4( 3x+2)

P = 12x+8

We know P = 14x-2

14x-2 = 12x+8

Subtract 12x from each side

14x-2 -12x = 12x+8-12x

2x -2 = 8

Add 2 to each side

2x-2 +2 = 8+2

2x= 10

Divide by 2

2x/2 = 10/2

x = 5

The side  is 3x+2

                 3*5+2

                  15+2

                   17

The porch is 17 ft by 17 ft

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Answer:

Step-by-step explanation:

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2 years ago
Help me here i suck at algebra due tomorrow plz explain step by step my english is not very good.
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5 0
3 years ago
the administration of community hospital is studying the activity of their cardiovascular telemetry unit, which has 12 beds. dur
hoa [83]

The required  the average daily census for this period is 12.

<h3>What is Average?</h3>

A Average can be characterized as the amount of all numbers isolated by the all out number of values. A mean can be characterized as a normal of the arrangement of values in an example of information. At the end of the day, a normal is likewise called the math mean. It is known as a mean to Depict the average.

<h3 /><h3>According to question:</h3>

there were 2,200 inpatient service days.

Number of days between this period = 184 days

So, average daily census = 2200/184

11.95

⇒ 12 up to whole number.

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6 0
1 year ago
Worth 12 Points, i spent 24
rewona [7]

Answer:

  \displaystyle m^{\frac{35}{12}}n^{-\frac{28}{15}}=\frac{m^{\frac{35}{12}}}{n^{\frac{28}{15}}}

Step-by-step explanation:

The relevant rule of exponents is ...

  (a^b·c^d)^e = a^(be)·c^(de)

Then ...

  (m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)

  = m^(35/12)·n^(-28/15)

__

Since you want positive rational exponents, you can write this as ...

  = m^(35/12)/n^(28/15)

6 0
3 years ago
Given the function defined below, what is the value of the 4th term?
MakcuM [25]

Answer:

The 4 t h term is   f(4)   = 143

Step-by-step explanation:

<em>Explanation</em>:-

Given  function f(1) = -4

Given 'nth' term is  f(n) = -3f(n-1) +5

Put n =2         <em> f(2) = -3 f(2-1) +5</em>

                             = -3 f(1) +5

                             = -3 (-4) +5

                             = 12 +5

                       f(2) = 17

put n= 3      

                         f(n) = -3f(n-1) +5  

                      <em>   f(3) = -3 f(3-1) +5</em>

                            = -3f(2) +5

                           = -3(17) +5

                           = -51+5

                      f(3) = -46

Put n=4

                  f(n) = -3f(n-1) +5

               <em>  f(4)  = -3f(4-1) +5</em>

<em>                  f(4)  = -3f(3)+5</em>

                f(4)   = -3(-46)+5

                f(4)   = 138 +5

                f(4)   = 143

<u><em>Final answer</em></u>:-

<em>The 4 t h term is   f(4)   = 143</em>

         

6 0
2 years ago
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