Step-by-step explanation:
8x + x² - 2y + y² - 64 = 0
(x + 4)² + (y - 1)² - 81 = 0
(x + 4)² + (y - 1)² = 81
Hencr the center is (-4,1) and the radius is 9.
Solution
- The number of possible outcomes in the sample space is simply gotten by multiplying out all the events together.
- There are 3 possible days: Tuesday, Wednesday, or Thursday. Thus, there are 3 possible outcomes.
- There are 3 possible times: 3PM, 4PM, or 5PM. Thus, there are 3 possible outcomes again.
- There are also 9 possible classrooms available meaning another 9 possible outcomes.
- Thus, the total possible outcomes in the sample space is
Answer:
Option D is the correct answer.
Step-by-step explanation:
Initial height = 4 feet
Given that the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.
Let the rate of growing each year be g.
After 6 years height of tree = 4 + 6g
After 4 years height of tree = 4 + 4g
At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.
That is

Option D is the correct answer.