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 equal sign and the answer on the other.

-4c - 3 = -9 + 2c
-4c = -9 + 2c + 3
-4c - 2c = -9 + 3
-6c = -6
c = \( \frac{-6}{-6} \)
c = 1

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 -4. 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:

Plugging these values into the slope-intercept equation:

y = -1\(\frac{1}{2}\)x - 4

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(9 + 6)(2)
a = ½(15)(2)
a = ½(30) = \( \frac{30}{2} \)
a = 15

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.

(9a)(2ab) - (2a²)(6b)
(9 x 2)(a x a x b) - (2 x 6)(a² x b)
(18)(a¹⁺¹ x b) - (12)(a²b)
18a²b - 12a²b
6a²b

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.