Answer:
Step-by-step explanation:
The general equation of a circle can be expressed as (x-a)²+(y-b)² = r² where (a,b) is the centre of the circle and r is the radius.
To show that the equation x² + y² +6y + 2 = 0 represents a circle, we need to write it in the format above using the completing the square method.
Given x² + (y² +6y) + 2 = 0
First we need to complete the square of the square in parenthesis by adding the square of half of the coefficient of y i.e
to the equation and adding the constant to the other side of the equation as well.
x² + (y² +6y) + 2 = 0

<em>Hence the equation represents a circle with centre C at (0, -3) and radius of √7</em>
Answer:
0.2
Step-by-step explanation:
U need to count how many times it goes up and divide 0.4 by 2
other factor for given polynomial is y+1
0.442
Step-by-step explanation:
Step 1 :
Given that 11% of the lights are defective.
So probability of a light randomly chosen is defective is .11
This implies probability of a light randomly chosen is not defective is 1 - .11 = .89
Step 2 :
In a pack of 5 light bulbs the probability that none of them are defective is (0.89)^ 5
Hence the probability that at least one of the light bulbs is defective is
1-(0.89)^ 5 = 1 - 0.558 = 0.442