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 - 2a = 3a

The formula for area is πr²:

a = πr²
a = π(3²)
a = 9π

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

c² = a² + b²
c² = 1² + 9²
c² = 1 + 81
c² = 82
c = \( \sqrt{82} \)

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.

6c + 4 > \( \frac{c}{7} \)
7 x (6c + 4) > c
(7 x 6c) + (7 x 4) > c
42c + 28 > c
42c + 28 - c > 0
42c - c > -28
41c > -28
c > \( \frac{-28}{41} \)
c > -\(\frac{28}{41}\)

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:

z² - 8z + 14 = -z + 2
z² - 8z + 14 - 2 = -z
z² - 8z + z + 12 = 0
z² - 7z + 12 = 0

Next, factor the quadratic equation:

z² - 7z + 12 = 0
(z - 3)(z - 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z - 4) must equal zero:

If (z - 3) = 0, z must equal 3
If (z - 4) = 0, z must equal 4

So the solution is that z = 3 or 4