The answer is A. To understand that, you need to put it in order by the x's and the y's to get x^2-6x + y^2-16y = -48. Now complete the square on both the x and the y terms to get (x^2-6x+9) +(y^2-16y+64) = -48+9+64. Rewriting that in vertex form on the left and doing the math on the right gives you
(x-3)^2 + (y-8)^2 = 25, which shows you a center of (3,8) and a radius of 5.
Answer:
D
Step-by-step explanation:
If you are asking if (2,14) would be a point on the line, it would not because:
14≠5*2+10
Hope this helps :)
Answer:

Step-by-step explanation:
The probability can be defined as the ratio between the possible events and the total number of outcomes.
In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.
Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.
Therefore, the probability is

The right answer is the last choice.
Answer:
(- 10, 45 )
Step-by-step explanation:
Since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor, that is
(- 2, 9 ) → (- 2 × 5, 9 × 5 ) → (- 10, 45 )