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).

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

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

b² - 13b + 40 = 0
(b - 5)(b - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 5) or (b - 8) must equal zero:

If (b - 5) = 0, b must equal 5
If (b - 8) = 0, b must equal 8

So the solution is that b = 5 or 8

You need to find the value of b so solve the first equation in terms of x:

-7b + x = -5
x = -5 + 7b

then substitute the result (-5 - -7b) into the second equation:

4b - 7(-5 + 7b) = 8
4b + (-7 x -5) + (-7 x 7b) = 8
4b + 35 - 49b = 8
4b - 49b = 8 - 35
-45b = -27
b = \( \frac{-27}{-45} \)
b = \(\frac{3}{5}\)

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.