The equation, 6x+12=8x-12 has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form x=a.

Final

Steps/Reasons/Explanation:

Question: The equation, has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form .

Step 1: Subtract from both sides.

Step 2: Simplify to

Step 3: Add to both sides.

Step 4: Simplify to 24.

Step 5: Divide both sides by .

Step 6: Simplify to .

Step 7: Switch sides.

~I hope I helped you :)~

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

i cant answer this, theres no table. sorry man

step-by-step explanation: