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 = 
Answer:
3.1415967382
Step-by-step explanation:
<span>2x^2 +3x -4 + 8 - 3x -5x^2 +2
answer is
</span>-3x^2 +6
hope that helps
Answer:
The correct answer is 2.912 cm.
Step-by-step explanation:
A company is designing a new cylindrical water bottle.
Volume of a cylinder is given by π ×
× h, where h is the height of the cylinder and r is the radius of the cylinder.
The volume of each bottle will be 211
.
The height (h) of the water bottle be 7.9 cm.
Let the radius of the bottle be r cm.
∴ π ×
× h = 211 ; (π = 3.15)
⇒
× 24.885 = 211
⇒ r = 2.912
The radius of the water bottle is 2.912 cm.
Answer:
answer: 4 or 9
Step-by-step explanation: