To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-z + 5 = \( \frac{z}{-2} \)
-2 x (-z + 5) = z
(-2 x -z) + (-2 x 5) = z
2z - 10 = z
2z - 10 - z = 0
2z - z = 10
z = 10
z = \( \frac{10}{1} \)
z = 10

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-2b - 3 > \( \frac{b}{6} \)
6 x (-2b - 3) > b
(6 x -2b) + (6 x -3) > b
-12b - 18 > b
-12b - 18 - b > 0
-12b - b > 18
-13b > 18
b > \( \frac{18}{-13} \)
b > -1\(\frac{5}{13}\)

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(8ab) - (5a²)(8b)
(5 x 8)(a x a x b) - (5 x 8)(a² x b)
(40)(a¹⁺¹ x b) - (40)(a²b)
40a²b - 40a²b
0a²b

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = \( \sqrt{100} \)
c = 10

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.