To add the two expressions, we can write it as:
4.6x-3 + (-5.3x+9)
We can distribute the plus sign (which means just drop the parenthesis in this case):
4.6x-3-5.3x+9
Now, we can simplify by combining like terms:
-0.7x+6
In Step 1, she used the Distributive Property incorrectly. She should have distributed the 3 to the 2. The equation should have been
3x + 6 + 1 = 24.
Using the washer method, the volume is given by the integral

where 3 - 1 = 2 is the distance from <em>y</em> = 3 to the axis of revolution, and similarly (1 + sec(<em>x</em>)) - 1 = sec(<em>x</em>) is the distance from <em>y</em> = 1 + sec(<em>x</em>) to the axis. The integrand is symmetric about <em>x</em> = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.
So the volume is

In the diagram where as the triangle RST is cognruent to triangle XYZ and ask to calculate the value of X. Base on my calculation and through step by step procedure and with the guidance of the theories and by the use of formulas, I came up with an answer of 35.
Solve the rational equation by combining expressions and isolating the variable aa.
a≈−0.16641103,1.49400147