We have the equation:

By arranging this equation in terms of x and y, we have:

By using the method of completing the square, we have:

The center of this circle is:

So the equation that fulfills the statement is:

Finally, the right answer is c)
Answer:
graph B
Step-by-step explanation:
Given
3y - 5x < - 6
Since the inequality is < then the line must be broken
If ≤ then line would be solid
The only possible graphs are B and D
Choose a test point in the shaded region of each graph and check validity
graph B (2, 0) ← substitute into left side of inequality
0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid
graph D (0, 0 ) ← substitute into left side of inequality
0 - 0 = 0 > - 6 ← this is not valid
Hence graph B is the correct graph
Answer
D. 3m - 4/3 -2/m
<u>Explanation</u>
(9m²-4m-6) ÷ 3m = 9m²/3m - 4m/3m - 6/3m
Carry out the division, each term is divided by 3m.
9m²/3m = 3m
- 4m/3m = -4/3
- 6/3m = - 2/m
Finally you will get,
<em>3m - 4/3 -2/m</em>