Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 given ⇒ 3(x − 4) + 5x = 9x − 36 step 1 ⇒ 3x − 12 + 5x = 9x − 36 step 2 ⇒ 3x + 5x − 12 = 9x − 36 step 3 ⇒ 8x − 12 = 9x − 36 step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 step 5 ⇒ 0 − 12 = x − 36 step 6 ⇒ −12 = x − 36 step 7 ⇒ −12 + 36 = x − 36 + 36 step 8 ⇒ 24 = x + 0 step 9 ⇒ 24 = x which property yields step 1?

The general form of the quetion of a circle is ax^2+by^2+cx+dy+e=0 where a=b=0 if the circle has a radius of three units and the center lies on the y axis which set of values of a, b, c, d, and e might correspond to the circle

The area of a rectangle is 10 cm^2. one side of the rectangle is x cm. express the perimeter of the rectangle in terms of x and show that this rectangle cannot have a perimeter of 12 cm. the perimeter of the rectangle in terms of x is __ cm

Aprofessional hockey team has noticed that, over the past several seasons, as the number of wins increases, the total number of hot dogs sold at the concession stands increases. the hockey team concludes that winning makes people crave hot dogs. what is wrong with the hockey team's conclusion? a) it does not take into account the attendance during each season. b) it does not take into account the number of hamburgers sold during each season. c) it does not take into account the number of concession stands in the hockey arena. d) it does not take into account the number of seasons the hockey team has been in existence.