Whats the numerator for the following rational expression 5/q+9/q=? /q

 The correct answer is:  " 14 " .

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Step-by-step explanation:

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Note:

 +    

  =     ;  

  only if:   ;  

   →   {since one cannot "divide by 0" .}.

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We are given:

 +    

         =      ;    Solve for:  " ? " ;

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Since the "denominators" are the same ; we can solve using the aforementioned "formula";

 →  given that:  " "  ;  

         →  {since one cannot "divide by 0" .}.

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→  So;  given:

    +                                             

                     =   ;

→ We can simplify the "left-hand side" of the equation               accordingly:

    →  "  +    "

                    =    

                    =   ;

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   →  "  =   " ;  

   →  Solve for  " ? " ;

   →  " ? " =  14 .

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The answer is:  " 14 " .

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Hope this answer — and explanation — is of help to you!

  Best wishes in your academic endeavors —

         and within the "" community!

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there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

so, converting firstly the mixed fractions to improper fractions and then "adding".