Answer:
The radius is
.
Step-by-step explanation:
The standard equation for a circle is
.
I like to call this form center-radius form because it tells you the center (h,k) and the radius r.
So we put it in this form to determine r, the radius, which is the desired value here.
We will need to complete the square.
Thankfully there is a formula to take more thinking out of the process:
.
Let's begin:

Reorganize the equation so the x's are together and the y's are together.

Now time to being completing the square. Keep in mind whatever you add to one side you need to add the other side to keep the equation equivalent to what it once was.

Use the other side of the formula I mentioned for completing the square:




So the center is (3,-4).
The radius is
.
You can actually simplify the radius since 99 contains a factor that is a perfect square.

Step-by-step explanation:
Find the GCD of the two lengths give
Answer:
yesir
Step-by-step explanation:
Answer:
x = 1 / 3
x = -1.5
Step-by-step explanation:
First move everything onto one side.
6x^2 + 7x - 3 = 0
Divide by 6:
x^2 + 7/6x - 0.5 = 0
Now, you can move the 0.5 to the other side because it is determined that this is not factorable.
x^2 + 7/6x = 0.5
Now you have to complete the square.
Take 1 / 2 of 7 / 6 and square it.
49 / 144
x^2 + 7/6x + 49/144 = 0.5 + 49/144
(x + 7 / 12)^2 = 121 / 144
Square root:
x + 7 / 12 = ±11 / 12
x = 1 / 3, x = -1.5
Answer:
$30
Step-by-step explanation:
The price of each chemistry class is $30.