Answer:
r = 
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use 
to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get 
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get 
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides 
to get r =
6. 180 - 50 - 35 = 95
7. 360 - 70 - 80 - 85 = 125
<em>Answer</em>
$518,000
<em>Step-by-step explanation</em>
An employee earns $56,000 in the first year.
Given that every year, the annual salary increases by $2,500, then in the second year the employee will earn $56,000 + $2,500, in the third year, the employee will earn $56,000 + 2x$2,500, and so on.
Answer:
18 women
Step-by-step explanation:
Sum the parts of the ratio, 7 + 2 = 9 parts
Divide 45 by 9 to find the value of one part of the ratio.
45 ÷ 9 = 5 ← value of 1 part, thus
7 parts = 7 × 5 = 35 ← number of men
2 parts = 2 × 5 = 10 ← number of women
We require to change the ratio to 5 : 4
The 5 part of the ratio represents the number of men, thus
35 ÷ 5 = 7 ← value of 1 part of the ratio, thus
4 × 7 = 28 ← number of women
Number of women required to join existing committee = 28 - 10 = 18
