Answer:
The equation is (x + 1)^2 + (y + 2)^2 = 15
Center is at (-1, -2) and radius = √15
Step-by-step explanation:
2x^2 + 2y^2 + 4x + 8y - 20 = 0
Divide through by 2:-
x^2 + y^2 + 2x + 4y - 10 = 0
x^2 + 2x + y^2 + 4x = 10
Completing the square on the x and y terms:-
(x + 1)^2 - 1 + (y + 2)^2 - 4 = 10
(x + 1)^2 + (y + 2)^2 = 10 + 1 + 4
(x + 1)^2 + (y + 2)^2 = 15
8.76582 × 10 to the 3rd power, that's how many hours there are in a year using scientific notation.
Answer:
x = 40
Step-by-step explanation:
5x + 900 = 1100
=> 5x = 1100 - 900
=> 5x = 200
=> x = 40
Hoped this helped.
Answer: 0.0476
Step-by-step explanation:
Given : Two friends and 5 other people compete with each other for first and second chair in an orchestra.
Total people in this competition= 2+5=7
By permutation , Number of ways to arrange 7 people= 7!
Also, number of ways for two friends end up as first and second chair together= 2 × 5! [ 2 ways to arrange friends on first and second chair and 5! ways to arrange others]
I.e. Required probability = 

Hence, the probability that the two friends end up as first and second chair together = 0.0476
49.10 = 5 + 2.10 * x
x = 21