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Rus_ich [418]
3 years ago
14

Simplify and expression for the perimeter of the the rectangle shown.

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Answer:

Step-by-step explanation:

l = 8.6 x + 3

b = 5.2

perimeter =

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7 0
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3 0
3 years ago
Read 2 more answers
The quotient of-54 and 9, subtracted from 8 times a number, is-18
AysviL [449]
The number is:  " -3 " .
_____________________________________
Explanation:
_____________________________________
Let "x" be the "unknown number" for which we are to solve.

        8x − (-54/9) = -18 ;  Solve for "x" ; 

  →  8x  − (-6) = - 18 ;

  →  8x + 6 = - 18 ;

   Subtract "6" from each side of the equation:

  →  8x + 6 − 6  =  - 18 <span>− 6 ;

to get:   8x =  -24 ;

Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the equation ; & to solve for "x" ; 

              8x / 8 = -24 / 8 ;

to get:   x = -3 .
________________________________
The number is:  " -3 " .
________________________________</span>
4 0
3 years ago
Please help! I have this question and one more I'm about to post, if you can answer them that would be most appreciated. These a
dimaraw [331]
D is the answer to this problem
4 0
3 years ago
The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0
3 years ago
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