The variables x and y vary directly, and y=10y=10 when x=2x=2. write an equation that relates x and y. what is the result when x=9?

y = 5x and y = 45

Step-by-step explanation:

since x and y vary directly, then

y = kx ← k is the constant of variation

to find k use the given condition y = 10 when x = 2

k = = = 5

⇒ y = 5x ← is the equation that relates x and y

when x = 9 then y = 5 × 9 = 45

  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