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xxTIMURxx [149]
3 years ago
8

|-2y+6|=6 please show the steps involved!!!

Mathematics
2 answers:
photoshop1234 [79]3 years ago
7 0

Answer:

Step-by-step explanation:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |-2y+6| = 6  

STEP

2

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |-2y+6|

For the Negative case we'll use -(-2y+6)  

For the Positive case we'll use (-2y+6)  

STEP

3

Solve the Negative Case

     -(-2y+6) = 6  

    Multiply

     2y-6 = 6  

    Rearrange and Add up

     2y = 12  

    Divide both sides by 2

     y = 6  

STEP

4

Solve the Positive Case

     (-2y+6) = 6  

    Rearrange and Add up

     -2y = 0  

    Divide both sides by 2

     -y = 0  

    Multiply both sides by (-1)

     y = 0  

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

y=6

y=0

 

 

Two solutions were found :

y=0

y=6

Radda [10]3 years ago
3 0

Answer:

y = 6 or y = 0

Step-by-step explanation:

              |-2y + 6| = 6

-2y + 6 = -6          -2y + 6 = 6

 -2y = -12                -2y = 0

    y = 6                      y = 0

Best of Luck!

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Does anyone know how to do this ??? <br> -view attachment
cricket20 [7]

As soon as I read this, the words "law of cosines" popped
into my head.  I don't have a good intuitive feeling for the
law of cosines, but I went and looked it up (you probably
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The "law of cosines" relates the lengths of the sides of any
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since we know all the sides, and we want to find one of the angles.

To find angle-B, the law of cosines says

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B  =  angle-B
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                  (1.4)² = (1)² + (1.9)² - (2 x 1 x 1.9) cos(B)

                 1.96  =  (1) + (3.61)  -  (3.8) cos(B)

Add  3.8 cos(B)  from each side:

                 1.96 + 3.8 cos(B) = 4.61

Subtract  1.96  from each side:

                             3.8 cos(B) =  2.65

Divide each side by  3.8 :

                                  cos(B)  =  0.69737  (rounded)

Whipping out the
trusty calculator:
                                 B  = the angle whose cosine is 0.69737

                                      =  45.784° .

Now, for the first time, I'll take a deep breath, then hold it
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By gosh !  Choice 'B' is  45.8° !                    yay !
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