If KK is the midpoint of \overline{JL} JL
, JK=8x+11JK=8x+11, and KL=14x-1KL=14x−1, find JL. JL.

  JL = 54

Step-by-step explanation:

When K is the midpoint of JL, we have ...

  JK + KL = JL

and

  JK = KL

Using this latter equation, we can substitute the given expressions to get

  (8x+11) = (14x -1)

  12 = 6x . . . . . . . . . add 1-8x to both sides

  2 = x

Using this, we can find JL.

  JK = 8x +11 = 8(2) +11 = 27

  KL = JK = 27

  JL = JL +KL = 27 +27

  JL = 54

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: