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 9 x 9) + (2 x 9 x 9) + (2 x 9 x 9)
sa = (162) + (162) + (162)
sa = 486

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

-4c + z = -7
z = -7 + 4c

then substitute the result (-7 - -4c) into the second equation:

8c - 3(-7 + 4c) = 8
8c + (-3 x -7) + (-3 x 4c) = 8
8c + 21 - 12c = 8
8c - 12c = 8 - 21
-4c = -13
c = \( \frac{-13}{-4} \)
c = 3\(\frac{1}{4}\)

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

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a + 8a = 14a

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, -4) and (2, -2) so the slope becomes:

Plugging these values into the slope-intercept equation:

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