The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 1) and (2, -7) so the slope becomes:

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° - 59° = 94°

So, d° = 59° + 94° = 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°

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 6) + (2 x 6 x 3) + (2 x 5 x 3)
sa = (60) + (36) + (30)
sa = 126

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.

(3a)(2ab) + (7a²)(4b)
(3 x 2)(a x a x b) + (7 x 4)(a² x b)
(6)(a¹⁺¹ x b) + (28)(a²b)
6a²b + 28a²b
34a²b

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:

x² + 3x + 4 = -4x - 2
x² + 3x + 4 + 2 = -4x
x² + 3x + 4x + 6 = 0
x² + 7x + 6 = 0

Next, factor the quadratic equation:

x² + 7x + 6 = 0
(x + 1)(x + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 1) or (x + 6) must equal zero:

If (x + 1) = 0, x must equal -1
If (x + 6) = 0, x must equal -6

So the solution is that x = -1 or -6