Answer
Find out the which coordinate pair identifies the center of the circle represented by 4x² + 4y² − 16x − 24y + 36 = 0.
To prove
The general equation of the circle is
(x - h)² + (y - k)² = r²
Where h,k are the centre and r is the radius.
4x² + 4y² − 16x − 24y + 36 = 0
Divided both side by 4.
x² + y² − 4x − 6y + 9= 0
Add and subtract 4 and 9
x² + y² − 4x − 6y + 4 -4 +9 - 9 +9= 0
x² + y² − 4x − 6y + 4 -4 + 9 - 9 +9= 0
x² + 4 - 2× 2 × x + y² + 9 - 2 × 3 × y = 9 + 4 - 9
using the formula ( a + b )² = a² + b² +2ab
(x - 2)² + (y - 3)² = 2²
Compare this with the general equation of circle.
Thus
h = 2 , k = 3
Option A is correct .
In order to find the <u>common difference</u> of the data in the problem you have to follow those steps
we know that
In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant. This constant is called <u>common difference</u>
Let
so
therefore
the answer is
the common difference is 
Answer:
a ^ (1/12)
Step-by-step explanation:
a ^ (1/3)
---------------
a ^ (1/4)
We know that b^ c / b^ d = b ^ (c-d)
a^ (1/3 - 1/4)
getting a common denominator
1/3 *4/4 - 1/4*3/3 = 4/12 - 3/12
a^ (4/12 - 3/12)
a ^ (1/12)
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Use decimals like 6.5 + 6.5= 13
