The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 5 x 9) + (2 x 9 x 4) + (2 x 5 x 4)
sa = (90) + (72) + (40)
sa = 202

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

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

y² - 11y + 24 = 0
(y - 3)(y - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 3) or (y - 8) must equal zero:

If (y - 3) = 0, y must equal 3
If (y - 8) = 0, y must equal 8

So the solution is that y = 3 or 8

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.

(2a)(7ab) - (5a²)(6b)
(2 x 7)(a x a x b) - (5 x 6)(a² x b)
(14)(a¹⁺¹ x b) - (30)(a²b)
14a²b - 30a²b
-16a²b

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° - 61° - 52° = 67°

So, d° = 52° + 67° = 119°

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° - 61° = 119°