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Alinara [238K]
3 years ago
15

What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequaliti

es?
What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequalities?

y ≥ 1
x ≥ 1
y ≤ 4
x ≤ 6
Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
Y ≥ 1 is a vertical line passing through y = 1 and including the points above the line
x ≥ 1 a horizontal line passing through x = 1 and including the points to the right of that line
y ≤ 4 a vertical line passing through y = 4 and including the points below the  line
x ≤ 6 a horizontal line passing through y = 6 and including the points to the left right of that line

The polygon that is obtained by graphing the given system of inequalities is a rectangle.

The area of the polygon bounded by the inequalities is
A = LW = 3 (2) = 6 sqr units
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Whats the answer for this 14=-(p-8)
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Answer:  " p = - 6 " .

___________________________________

Step-by-step explanation:

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Given:  14 = - (p - 8) ;  Solve for "p" ;

Rewrite as:

↔  - (p - 8) = 14 ;  

which is the same as:

-1(p - 8) = 14 ; ;

Divide each side by "-1" ; to get rid of the "-1" ;

{-1(p - 8) } / -1 = {14} / -1 ;

to get:

 (p - 8) = -14 ;

Rewrite as:

 p - 8 = -14 ;

Now add "8" to each side of the equation;

   to isolate "p" on one side of the equation; & to solve for "p" :

  p - 8 + 8 = -14 + 8  ;

to get:

  p  = - 6 ;

which is the answer:

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 p  = - 6  .

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Now, let us check our answer:

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Given:   14 = - (p - 8) ;

Substitute our solved value:  "-6" ; for "p" ; to see if the equation holds true:

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14 = - (p - 8)  ;

14 =? -(-6 - 8) ;

14 =? -(-14) ;

14 =? + 14 ?  Yes!

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Hope this answer and explanation is helpful to you!

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4 0
3 years ago
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2 years ago
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gladu [14]

Answer: The right  answer is 2

Step-by-step explanation:

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T1; a = 0.3 ------------ (I)

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Substituting for 'a' in the second equation, we have;

0.3r^7 = 38.4

0.3r^7 = 38.4

Divide both sides by 0.3

r^7 = 38.4/0.3

r^7 = 128

r = (128)^1/7

r = 2

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3 years ago
<img src="https://tex.z-dn.net/?f=5%20%2B1" id="TexFormula1" title="5 +1" alt="5 +1" align="absmiddle" class="latex-formula"> x
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Answer:

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(5 + 1) x 10 =

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2 years ago
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