The circle equation is in the format (x – h)2 + (y – k)2= r2, with the center being at the point (h, k) and the radius being "r".
x²+y²-8x-6y+2 =0 -----(a)
(x-4)² = x² - 8x + 16
(y-3)² = y² - 6y + 9
Equation (a) can be rewritten as:
(x-4)² + (y-3)² + 2 - 16 - 9 = 0
(x-4)² + (y-3)² = 23
The coordinates for the center of the circle is: ( 4,3)
The radius is √23=4.8
<span>The question ask us to find the products which equals 216. First we have to factorize 216: 216 = 2*2*2*3*3*3. So: 216 = 1 * 216; 216 = 2 * 108; 216 = 3 * 72; 216 = 4 * 54 ; 216 = 6 * 36; 216 = 8 * 27; 216 = 9 * 24 ; 216 = 12 * 18. And because of a commutative property: 216 = 18 * 12 ; 216 = 24 * 9 ; 216 = 27 * 8 ; 216 = 36 * 6 ; 216 = 54 * 4 ; 216 = 72 * 3 ; 216 = 108 * 2; 216 = 216 * 1.</span>
Note: Consider "÷" sign instead of "=".
Given:

To find:
The quotient.
Solution:
We have,

It can be written as

Splitting the middle terms, we get


Taking out the common factor (x-1), we get

Cancel the common factors.

The quotient is
.
Therefore, the correct option is D.
Using the given percentages, it is found that the probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.
<h3>Percentages:</h3>
The percentages associated with an incorrect detection are:
- 2% of 3.5%(have the protein).
- 3% of 96.5%(do not have the protein).
Hence:

The probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.
You can learn more about percentages and probabilities at brainly.com/question/25960993
If your solvung for x the answer will be X= 6y