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bekas [8.4K]
3 years ago
10

What is the value of y in 6 + y = –3?

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0
I believe the answer is -9<span />
zlopas [31]3 years ago
5 0
The value of Y in 6+y=3 is that Y equals to -9 
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When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations? (5 points)
sasho [114]
The correct answer choice is:  
______________________________________________
  [C]:  "<span>Multiply each side by −8, subtract 35 from each side" .
_______________________________________________
Explanation:
_______________________________________________
Given:  "</span>\frac{-1}{8} (x + 35) = -7 " ; 

We can START by multiply each side of the equation by "-8"  to completely get rid of the "\frac{-1}{8}"  fraction on the "left-hand-side" of the equation:

since:  "\frac{-1}{8}  * -8 = 1 ;  and:  "1" , multiplied by any given value, is equal to that given value; so in effect, the "1" becomes eliminated.

" \frac{-1}{8}  * -8 =  

\frac{-1}{8} * \frac{-8}{1} =


\frac{(-1*-8)}{(8* 1)} = \frac{8}{8} = 1 .
____________________________________________________
So,  given:  "\frac{-1}{8} (x + 35) = -7 " ; ; 

We multiply each side of the equation by "-8" ; 

→    -8 * { \frac{-1}{8} (x + 35) }  =  -7 * {-8) " ; 

→    1 (x + 35)  = 56 ; 

     →  x + 35 = 56 ;

Then, we SUBTRACT "35" (FROM EACH SIDE OF THE EQUATION) ;  to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;

     →  x + 35 − 35 = 56 <span>− 35 ;

     </span>→  x = 21 .
______________________________________________________
So, as explained, the correct answer is:  
______________________________________________________
   Answer choice:  [C]:
______________________________________________________
     
"<span>Multiply each side by −8, subtract 35 from each side" .
______________________________________________________</span><span>
</span>
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Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from angle I, we know the opposite side and the hypotenuse. Therefore, we should use sine.

sin(I) = \frac{\sqrt{39}}{\sqrt{51}}

To solve, you can use your calculator and the inverse sine function (sin^-1).

I = sin^-1(\frac{\sqrt{39}}{\sqrt{51}})

I = 61 degrees

Hope this helps!

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gizmo_the_mogwai [7]

The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

The business cycle consists of the following stages which changes with time;

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Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

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