Answer:
8
Step-by-step explanation:
Answer:
a) The center coordinates O is (0,0)
b) The radius C = 15
Step-by-step explanation:
The given equation of the circle is :
Now, general form of the equation of the circle is:
where (h,k) are the center co -ordinates and r is the radius of the circle.
Comparing the general equation with the given equation, we get
So, here the center coordinates (h,k) = (0,0)
And the radius of the given circle is r = 15
You have the right idea that things need to get multiplied.
What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.
Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.
The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.
So we multiply the entire complex fraction by (5)(x + 6)(x -3).
Numerator:
= (x+6)(x-3) - (5)(5)(x-3)
= (x+6)(x-3) - 25(x-3)
= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3
= (x -3)(x - 19)
Denominator:
Now we put the pieces together.
Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)
Answer:
68x + 36y
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define expression</u>
(19x + 4y) + (49x + 32y)
<u>Step 2: Simplify expression</u>
- Combine like terms (x): 68x + 4y + 32y
- Combine like terms (y): 68x + 36y