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mihalych1998 [28]
4 years ago
9

UW= 2 and UX=y. Write an expression for WX

Mathematics
1 answer:
Eddi Din [679]4 years ago
8 0
Divide each term by U and simplify. X=y/U and W=2/U. Next, solve the equation for y. Simplify the left side then cancel the common factor of U. 1/1*y/1=y

W=2/U. Multiply 1/1*y/1=y/1 so, y/1=y and W=2/U. Next, divide y/y to get 1 now y=y, still W=2/U. Now, move all terms containing y to the left side.  Since, Y contains the variable to solve for, move it to the left side of the equation by subtracting y from both sides. Now, y-y=0 still W=2/U.  Next, subtract y from y to get zero and still W=2/U.  Subtract y from y to get zero or 0=0 and W=2/U is your expression since 0=0.


Next: UW=m and WX=y+14  write expression for UX

First, divide each term by W and simplify. U=m/W, WX=y+14. Next, solve the equation for Y. Move y from the right side of the equation to the left side. Still, U=m/W and y=-14+WX.  We must reorder -14 and WX. U=m/w and y=WX-14.
Replace the variable U with m/W in the expression to (m/W)X. Next, simplify (m/W)X. Now, write X and a fraction with denominator 1. Looks like this
fractions are side by side m/W X/1 . Multiply, m/W and X/1 to get mX/W.
mX/W is your final expression for UW=m and WX=y+14 expression for UX.
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Answer:

(3m-4/5)2  

Final result :

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 ——————————

     52    

Step by step solution :

Step  1  :

           4

Simplify   —

           5

Equation at the end of step  1  :

        4

 (3m -  —)2

        5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          3m     3m • 5

    3m =  ——  =  ——————

          1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m • 5 - (4)     15m - 4

————————————  =  ———————

     5              5    

Equation at the end of step  2  :

 (15m - 4)

(—————————)2

     5    

Step  3  :

Final result :

 (15m - 4)2

 ———

     52    

Step-by-step explanation:

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