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.

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 3. 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, 6) and (2, 0) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -1\(\frac{1}{2}\)x + 3

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 4 x 6) + (2 x 6 x 3) + (2 x 4 x 3)
sa = (48) + (36) + (24)
sa = 108

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

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

2c + y = 7
y = 7 - 2c

then substitute the result (7 - 2c) into the second equation:

-3c - 5(7 - 2c) = 2
-3c + (-5 x 7) + (-5 x -2c) = 2
-3c - 35 + 10c = 2
-3c + 10c = 2 + 35
7c = 37
c = \( \frac{37}{7} \)
c = 5\(\frac{2}{7}\)