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.

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:

b² + b - 46 = b + 3
b² + b - 46 - 3 = b
b² + b - b - 49 = 0
b² - 49 = 0

Next, factor the quadratic equation:

b² - 49 = 0
(b - 7)(b + 7) = 0

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

If (b - 7) = 0, b must equal 7
If (b + 7) = 0, b must equal -7

So the solution is that b = 7 or -7

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

-9b + x = 9b - 7x + 2
-9b = 9b - 7x + 2 - x
-9b - 9b = -7x + 2 - x
-18b = -8x + 2
b = \( \frac{-8x + 2}{-18} \)
b = \( \frac{-8x}{-18} \) + \( \frac{2}{-18} \)
b = \(\frac{4}{9}\)x - \(\frac{1}{9}\)

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².