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).

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.

-2b - 2z = 3b + 7z + 8
-2b = 3b + 7z + 8 + 2z
-2b - 3b = 7z + 8 + 2z
-5b = 9z + 8
b = \( \frac{9z + 8}{-5} \)
b = \( \frac{9z}{-5} \) + \( \frac{8}{-5} \)
b = -1\(\frac{4}{5}\)z - 1\(\frac{3}{5}\)

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-8c(c - z)
-8(5)(5 + 9)
-8(5)(14)
(-40)(14)
-560

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

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.

5a + 8a = 13a