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.

4c + 1 < \( \frac{c}{-9} \)
-9 x (4c + 1) < c
(-9 x 4c) + (-9 x 1) < c
-36c - 9 < c
-36c - 9 - c < 0
-36c - c < 9
-37c < 9
c < \( \frac{9}{-37} \)
c < -\(\frac{9}{37}\)

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 4)(y - 9)
(y x y) + (y x -9) + (-4 x y) + (-4 x -9)
y² - 9y - 4y + 36
y² - 13y + 36

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 27° - 41° = 112°

So, d° = 41° + 112° = 153°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 27° = 153°

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.

7a⁴ + 9a⁴ = 16a⁴

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