4x = 3y - 8
 4         4
  x = ³/₄y - 2
                  -16x + 4y = 32
       -16(³/₄y - 2) + 4y = 32
-16(³/₄y) + 16(2) + 4y = 32
          -12y + 32 + 4y = 32 
          -12y + 4y + 32 = 32
                    -8y + 32 = 32
                           - 32  - 32
                            -8y = 0
                             -8    -8
                               y = 0
x = ³/₄y - 2
x = ³/₄(0) - 2
x = 0 - 2
x = -2
(x, y) = (-2, 0)
        
             
        
        
        
ANSWER

EXPLANATION
The volume of a cylinder is given by the formula:

The given cylinder has diameter 6. This means that, the radius is 


The is height is 


We substitute the values into the formula to obtain;



The volume is 

 to the nearest hundredth
 
        
        
        
Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.
The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
According to the question;
- the r-axis is the horizontal axis.
- the s-axis is the vertical axis.
Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).
- i.e s = 0
- the equation r⁴ + s² − r s = 16, then becomes;
- r⁴ = 16
- Therefore, r = ±2.
Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).
- i.e r = 0.
- the equation r⁴ + s² − r s = 16, then becomes;
- s² = 16.
- Therefore, s = ±4.
Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
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