We know that
the equation of a circle is
(x-h+(y-k)²=r²
where (k,k)----> is the center
and
r----> is the radius
y²+2x+x²-24y= -120
Group
terms that contain the same variable
(y²-24y)+(x²+2x)=-120
Complete
the square twice. Remember to balance the equation by adding the same constants
to each side
(y²-24y+144)+(x²+2x+1)=-120+144+1
<span>Rewrite as perfect squares</span>
(y-12)²+(x+1)²=25
(x+1)²+(y-12)²=5²
the answer isthe coordinates of the center are (-1,12)the radius is 5 units
I'll message you the answerrs,
Thanks
Answer:
1. -2
2. -10
3. -8
Step-by-step explanation:
1. you add 4 to -3 which is equal to one then you multiply 1 by -2 which is -2
2. 4-2=2 then 2(-5) is equal to -10
3. -7+3=-4 and 4-5 is equal to -1 then you multiply that by 2 which is equal to -2
Answer:
A function rule can look like this:
y=3x
Step-by-step explanation:
First, we have to distribute the 4 outside the parenthesis on the left side.
Remember distributing just means multiplying.
So it would be,
4 times x and 4 times -6
That would equal
4x-24-3=2(3-2x)-5
Now the other side. For this side we distribute the 2 since there is a 2 outside of the parenthesis.
That would equal
2 times 3 and 2 times 2x
Which is 6-4x
We put this whole equation together so it would be
4x-24-3=6-4x-5
We combine the like terms so in this case it would be
4x-28=1-4x
Now here notice how I only added the numbers without x. This is because they were like terms meaning I could add, subtract or multiply, or divide them, but however the number with x are not like terms so therefore we cannot add, subtract, multiply or divide them.
Now we can bring the variables to one side in this case I will bring it to the left side.
So that would be adding 4x to the left side.
So that would be
8x-28=1
Notice how I added the 4x to the 4x I did this because they were like terms.
After this we can now add 28 to both sides.
So that would be 8x=29
Now we divided 8 on both sides so it would be
x=29/8
Or if we simplifies it could be
x=7/2 or x=3.5 or x= 3 1/2
