Answer:
g=12
Step-by-step explanation:
4(2y)=24
8y=24

y=3

Since we know the value of y we substitude

36=3g
g=12
 
        
             
        
        
        
Answer:  
                Center = (2, 3)          radius = 
<u>Step-by-step explanation:</u>
When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:
(x-h)² + (y-k)² = r²    where
- (h, k) is the vertex
- r is the radius
1) Group the x's and y's together and move the number to the right side
    4x² - 16x         + 4y² - 24y               = -51        
2) Factor out the 4 from the x² and y²
     4(x² - 4x          ) + 4(y² - 6y            ) = -51
3) Complete the square (divide the x and y value by 2 and square it)
     ![4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2](https://tex.z-dn.net/?f=4%5Bx%5E2-4x%2B%5Cbigg%28%5Cdfrac%7B-4%7D%7B2%7D%5Cbigg%29%5E2%5D%2B4%5By%5E2-6y%2B%5Cbigg%28%5Cdfrac%7B-6%7D%7B2%7D%5Cbigg%29%5E2%5D%3D-51%2B4%5Cbigg%28%5Cdfrac%7B-4%7D%7B2%7D%5Cbigg%29%5E2%2B4%5Cbigg%28%5Cdfrac%7B-6%7D%7B2%7D%5Cbigg%29%5E2)
   = 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²
   = 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)
   = 4(x - 2)² + 4(y - 3)² = -51 +  16  +  36
   = 4(x - 2)² + 4(y - 3)² = 1
4) Divide both sides by 4
    
- (h, k) = (2, 3)
 
 
        
             
        
        
        
Answer:
With what?
Step-by-step explanation:
 
        
                    
             
        
        
        
I DO NOT KNOW JUST GIVE ME A SECOND.