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andreev551 [17]
2 years ago
5

Solve 5x + 14 = k for x​

Mathematics
1 answer:
Zepler [3.9K]2 years ago
7 0

Answer:

x = 1/5(k-14)

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x+14-14 = k-14

5x = k-14

Divide by 5

5x/5 = 1/5(k-14)

x = 1/5(k-14)

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The square root of 75/3 is a irrational number
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6v+12b=504<br> 2v+5b=204
ss7ja [257]

Answer:

Step-by-step explanation:

6v + 12b = 504       eq1

2v +  5b = 204        eq2

6v +  15b = 612       eq2  times 3    

0     -3b   = 504 - 612        subtraction of the two bolded eqs

         -3b  =  -108                solve for b

            b  =    36

    Another way to solve the problem

6v + 12b = 504        I would eliminate the v term by multiplying the bottom

2v +  5b = 204        equation by -3 on BOTH sides and then add the two eqs

   2v +  5b  = 204

-3(2v +  5b) = -3(204)

 -6v  -  15b  =  -612

   

6v  + 12b  =   504

-6v  -  15b  =  -612            add the like terms

(6v + (-6v)) + (12b + (-15b)  =  504 + (-612)

(6v -6v)) + (12b - 15b)  =  504 - 612)

    0       +         -3b     =    - 108            solve for b   divide both sides by -3

                           b   =  -108/-3

                             b =  36                  

use eq   2v +  5b = 204       to solve for v       and knowing b = 36

        2v +  5b = 204      b=36

        2v +  5(36)  = 204                 substract 5 times 36 from both sides

                 2v   =   204 - 180

                    v  =    24 / 2

                    v  =  12

NOW CHECK the values for b and v using the OTHER eq

       6v      +     12b      =    504

       6(12)   +   12(36)    =    504

         72    +     432      =    504

                        504      =    504           IT CHECKS

4 0
3 years ago
**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?
Alborosie
We analyze the linear function to find that it has equation y=x.  Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.

We can prove this by substituting y=x into the given equation:

x^2+x^2=36

2x^2=36

x^2 = 18

x = \pm 3\sqrt{2}

Hence, x = 3\sqrt{2} or -\sqrt{2}, so there are both positive and negative values for x.
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Answer:

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Step-by-step explanation:

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