9+3|5-x|=24

What is the lines for and how do I solve X with them?

the lines represent absolute value bars

Step-by-step explanation:

STEP 1: Move all terms not containing |5−x| to the right side of the equation.

STEP 2: Divide each term by 3 and simplify.

STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

5-x=±5

STEP 4: Set up the positive portion of the ± solution.

STEP 5: Solve the first equation for x.

STEP 6: Set up the negative portion of the ± solution.

STEP 7: Solve the second equation for x.

NOTE: The solution to the equation includes both the positive and negative portions of the solution.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)