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I am Lyosha [343]
3 years ago
12

3/7x + 1/2x = - 1/14

Mathematics
1 answer:
givi [52]3 years ago
3 0

3/7x + 1/2x =-1/14

6/14x + 7/14x = -1/14

13/14x= -1/14

x= 14/13(- 1/14)

x= -13

You might be interested in
find the equation of the perpendicular bisector of the line segment joining the points (3,8) and (-5,6).​
IgorLugansk [536]

Answer:

y = - 4x + 3

Step-by-step explanation:

The perpendicular bisector is positioned at the midpoint of AB at right angles.

We require to find the midpoint and slope m of AB

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(3, 8) and (x₂, y₂ ) = B(- 5, 6)

m = \frac{6-8}{-5-3} = \frac{-2}{-8} = \frac{1}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{4} } = - 4

mid point  = [0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Using the coordinates of A and B, then

midpoint AB = [0.5(3 - 5), 0.5(8 + 6) ] = (- 1, 7 )

Equation of perpendicular in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

with m = - 4

y = - 4x + c ← is the partial equation

To find c substitute (- 1, 7) into the partial equation

Using (- 1, 7), then

7 = 4 + c ⇒ c = 7 - 4 = 3

y = - 4x + 3 ← equation of perpendicular bisector

3 0
3 years ago
Read 2 more answers
Divide the fractions and simplify the answer . 1/2 ÷ 5/8
Naya [18.7K]
Dividing fractions is equivalent to taking the reciprocal of the second and multiplying them.  In this case, we have 1/2*8/5=8/10=4/5.
3 0
3 years ago
URGENT HELP NEEDED WITH CIRCLES!!! Find the center of the circle with the given equation...
ioda

Center of the circle is (5; -5)

3 0
3 years ago
4g^2+9/h^2+7g^2+4/h^2+1​
SashulF [63]

Answer:

   11g2h2 + h2 + 13

 ———————————

                h2      

Step-by-step explanation:

Step  1  :

            4

Simplify   ——

           h2

Equation at the end of step  1  :

               9              4

 ((((4•(g2))+————)+(7•(g2)))+——)+1

             (h2)            h2

Step  2  :

Equation at the end of step  2  :

               9         4

 ((((4•(g2))+————)+7g2)+——)+1

             (h2)       h2

Step  3  :

            9

Simplify   ——

           h2

Equation at the end of step  3  :

              9        4

 ((((4•(g2))+——)+7g2)+——)+1

             h2       h2

Step  4  :

Equation at the end of step  4  :

             9              4    

 (((22g2 +  ——) +  7g2) +  ——) +  1

            h2             h2    

Step  5  :

Rewriting the whole as an Equivalent Fraction :

5.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  h2  as the denominator :

            22g2     22g2 • h2

    22g2 =  ————  =  —————————

             1          h2    

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 :

5.2       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:

22g2 • h2 + 9     4g2h2 + 9

—————————————  =  —————————

     h2              h2    

Equation at the end of step  5  :

   (4g2h2 + 9)             4    

 ((——————————— +  7g2) +  ——) +  1

       h2                 h2    

Step  6  :

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  h2  as the denominator :

          7g2     7g2 • h2

   7g2 =  ———  =  ————————

           1         h2  

Adding fractions that have a common denominator :

6.2       Adding up the two equivalent fractions

(4g2h2+9) + 7g2 • h2      11g2h2 + 9

————————————————————  =  ——————————

         h2                  h2    

Equation at the end of step  6  :

  (11g2h2 + 9)     4    

 (———————————— +  ——) +  1

       h2         h2    

Step  7  :

Adding fractions which have a common denominator :

7.1       Adding fractions which have a common denominator

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

(11g2h2+9) + 4     11g2h2 + 13

——————————————  =  ———————————

      h2               h2    

Equation at the end of step  7  :

 (11g2h2 + 13)    

 ————————————— +  1

      h2          

Step  8  :

Rewriting the whole as an Equivalent Fraction :

8.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  h2  as the denominator :

        1     1 • h2

   1 =  —  =  ——————

        1       h2  

Adding fractions that have a common denominator :

8.2       Adding up the two equivalent fractions

(11g2h2+13) + h2     11g2h2 + h2 + 13

————————————————  =  ————————————————

       h2                   h2      

Trying to factor a multi variable polynomial :

8.3    Factoring    11g2h2 + h2 + 13

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :

 11g2h2 + h2 + 13

 ————————————————

        h2      

Processing ends successfully

plz mark me as brainliest :)

6 0
3 years ago
The midpoint of the segment as an ordered pair (-6,-1,) (-1,-6)
san4es73 [151]

Answer:

Step-by-step explanation:

(-6,-1) & (-1,-6)

Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{-6-1}{2},\dfrac{-1-6}{2} \right)\\\\\\=\left(\dfrac{-7}{2},\dfrac{-7}{2} \right)\\\\\\

= (-3.5 , -3.5)

5 0
3 years ago
Read 2 more answers
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