To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

You need to find the value of c so solve the first equation in terms of x:

-c + x = -5
x = -5 + c

then substitute the result (-5 - -1c) into the second equation:

6c - 4(-5 + c) = -8
6c + (-4 x -5) + (-4 x c) = -8
6c + 20 - 4c = -8
6c - 4c = -8 - 20
2c = -28
c = \( \frac{-28}{2} \)
c = -14

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -1. 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, -3) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -x - 1

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° - 30° - 33° = 117°

So, d° = 33° + 117° = 150°

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° - 30° = 150°

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(1²) + 2π(1 x 1)
sa = 2π(1) + 2π(1)
sa = (2 x 1)π + (2 x 1)π
sa = 2π + 2π
sa = 4π