If AC = 52, AB = 8x + 8, and BC = 2x + 4, then the length BC is

12

Step-by-step explanation:

AC = AB + BC

Since we know what each variable equals, we can write out the equation as shown:

52 = 8X + 8 + 2X + 4

Combining like terms:

52 = 10X + 12

Subtract 12 from both sides:

40 = 10X

Divide by 10:

X = 4

Now that we know X, we can figure out BC

BC = 2(4) + 4

BC = 8 + 4

BC = 12

Therefore BC is 12.

And if we compare this to the general equation for a circle:

We see that the radius is and the center would be

Step-by-step explanation:

For this case we have the following equation:

We need to complete the square for x and y like this:

And simplifying we got:

And if we compare this to the general equation for a circle:

We see that the radius is and the center would be