Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multiplied the sum by 2, it would equal 8. Which equation could Stephanie use to find the number, x? A. 2(x + 9) = 8 B. 2(x) + 9 = 8 C. 9(x + 2) = 8 D. 2 + (x + 9) = 8

A. 2(x + 9) = 8

Step-by-step explanation:

To solve this problem, we proceed as follows:

- We call "x" the number picked up by Amy:

- Amy then adds 9 to this number, so we get:

- Then, we multiply this sum by 2, so we get:

- Finally, Amy says that this number is equal to 8:

So the correct equation is

A. 2(x + 9) = 8

We can even solve it to find the number. We get:

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.