The graph of the equation x^2+6x+y^2-16y=-9 is a circle. Choose True or False for each statement

A. The center of the circle is (3,-8). (true or false?)

B. The circle is tangent to the x-axis. (true or false?)

C. The circle has a radius of 64. (true or false?)

see the explanation

Step-by-step explanation:

we have

Convert the equation of the circle in center radius form

Group terms that contain the same variable

Complete the square twice. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The center of the circle is (-3,8)

The radius of the circle is 8 units

Verify each statement

A. The center of the circle is (3,-8).

False

The center of the circle is (-3,8)

B. The circle is tangent to the x-axis

True

The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16

Remember that y=0 is the x-axis

C. The circle has a radius of 64

False

The radius of the circle is 8 units

23

step-by-step explanation:

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: