A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

2c + y = c + 5y - 6
2c = c + 5y - 6 - y
2c - c = 5y - 6 - y
c = 4y - 6

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 14cm + 7cm + 12cm = 33cm

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² - 17 = 2y - 2
y² - 17 + 2 = 2y
y² - 2y - 15 = 0
y² - 2y - 15 = 0

Next, factor the quadratic equation:

y² - 2y - 15 = 0
(y + 3)(y - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y - 5) must equal zero:

If (y + 3) = 0, y must equal -3
If (y - 5) = 0, y must equal 5

So the solution is that y = -3 or 5