The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 5 x 1 = \( \frac{5}{2} \) = 2\(\frac{1}{2}\)

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.

5a⁵ + 9a⁵ = 14a⁵

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(6 + 2)(3)
a = ½(8)(3)
a = ½(24) = \( \frac{24}{2} \)
a = 12

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

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 - 32 = -2b - 2
b² - b - 32 + 2 = -2b
b² - b + 2b - 30 = 0
b² + b - 30 = 0

Next, factor the quadratic equation:

b² + b - 30 = 0
(b - 5)(b + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 5) or (b + 6) must equal zero:

If (b - 5) = 0, b must equal 5
If (b + 6) = 0, b must equal -6

So the solution is that b = 5 or -6