Answer:
<h2>(x - 3)² + (y - 5)² = 64</h2>
Step-by-step explanation:
The standard form of an equation of a circle:

(h, k) - center
r - radius
Look at the picture.
We have
center at (3, 5) → h = 3 anf k = 5
radius r = 8
Substitute:

Answer:
3
Step-by-step explanation:
2x + 3 = -x + 12
subtract 3 from both sides
2x = - x + 9
add x to both sides
3x = 9
divide by 3
x = 3
Answer:
y - 5 = -8/7(x + 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Slope Formula: 
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-3, 5)
Point (2, -3)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:

- Subtract/Add:

<u>Step 3: Write Equation</u>
<em>Plug in variables into the general form.</em>
y - 5 = -8/7(x + 3)
y + 3 = -8/7(x - 2)
Demand
D(q)=(12-q)^(1/2)
Revenue,
R(q)=q*D(q)=q*sqrt(12-q)
At maximum revenue,
R'(q)=0
where
R'(q)=sqrt(12-q)-q/[2(sqrt(12-q))]=0
Solve for q=8.
Hence, quantity=8, price=sqrt(12-q)=sqrt(12-8)=sqrt(4)=2