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 =
For this question you should know 8 + (-3) is equal to 8 -3 so the answer is 5
and you should draw 8 circles then low off 3 of them :)))
i hope this is helpful
have a nice day
If P is a midpoint of DE, then:
DP + PE = DE and DP = PE → 2DP = DE
We have:
DP = 3x + 2 and DE = 10x - 12
Substitute:
2(3x + 2) = 10x - 12 |use distributive property
(2)(3x) + (2)(2) = 10x - 12
6x + 4 = 10x - 12 |subtract 4 from both sides
6x = 10x - 16 |subtract 10x from both sides
-4x = -16 |divide both sides by (-4)
x = 4
Substitute the value of x to the equation DP = 3x + 2:
|DP = 3(4) + 2 = 12 + 2 = 14
Answer: DP = 14 units
The total cost of the item with sales tax will be $ 381.6.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
An item cost $360 before tax and the sale tax is 21.60.
Then the total cost of the item with sales tax will be
Total cost = 360 + 21.6
Total cost = $ 381.6
More about the Algebra link is given below.
brainly.com/question/953809
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