Since you have y alone on one side of the equation......
Use substitution and plug in 1/2x-4 for y in the other equation.
Distribute
Combine like terms
Add 8 to both sides
Divide by 4
and
Plug this value in for x
Simplify
Multiply everything by 8 and simplify
Divide.....
Your answers are:
Answer:
1056.25π square units
Step-by-step explanation:
A few formulas an definitions which will help us:
(1) , where c is the circumference of a circle and d is its diameter
(2) , where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3)
.
We can rearrange equation (1) to put d in terms of π and c, giving us (4) , and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:
We can now substitute c for our circumference, 65, to get our answer in terms of π: