Michael breeds chickens and ducks. Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532.
How much does a chicken cost, and how much does a duck cost?
A chicken costs $ and a duck costs $.

Chicken:$8   Ducks:$5

Step-by-step explanation:

Let's assume

Chickens= c

Ducks=d

50c + 30d = 550 (divide this by 10)--- 5c+3d=55

44c + 36d = 532 (divide this by 4)--- 11c+9d=133

Solving simultaneously:

5c + 3d = 55 (x9)

11c + 9d = 133 (x3)

45c + 27d = 495

33c + 27d = 399

By subtraction we get:

(45c-33c+27d-27d)= 96

12c = 96

Chicken = $ 8 (96/12)

Ducks: 50(8)+ 30d = 550

30d = 150

Ducks = $5 (150/30)

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.