To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a⁸ + 5a⁸ = 12a⁸

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.

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 + 9y + 22 = -y + 1
y² + 9y + 22 - 1 = -y
y² + 9y + y + 21 = 0
y² + 10y + 21 = 0

Next, factor the quadratic equation:

y² + 10y + 21 = 0
(y + 3)(y + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y + 7) must equal zero:

If (y + 3) = 0, y must equal -3
If (y + 7) = 0, y must equal -7

So the solution is that y = -3 or -7

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y² - 12y + 27 = 0
(y - 3)(y - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 3) or (y - 9) must equal zero:

If (y - 3) = 0, y must equal 3
If (y - 9) = 0, y must equal 9

So the solution is that y = 3 or 9

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.