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:
Can you provide more context, as the standard number line shows -3 and the opposite of -3 which is +3
A looks like it is more symmetrical then C obviously u can eliminate all other options
Answer: 108deg
From picture:
10z=pi and m<SPT =6z So we know 20z=2pi or 360deg
Let’s solve:
20z=2pi
z=pi/10
m<SPT=6z=6pi/10=3pi/5 now lets take the angle from radians to degrees by unit conversion:
3pi/5*(180deg/pi)=108deg
Yes, Both are equivalent.
<u>Step-by-step explanation:</u>
Step 1:
To find the equality between the given terms Use the BODMAS (Brackets Orders Division Multiplication Addition Subtraction)
RHS SIDE:
Equation after 1st modification
Equation after Second modification
Equation after Third modification
LCM 2,4,8 is 8
And taking LCM equation changes to 
Equation after Final modification
--------- 1
Step 2:
LHS SIDE:
By applying the BODMAS rule in the above equation we will get
------------ 2
From equations 1 & 2, the expression 
is equivalent to 
