Answer: k = -1 +/- √769
<u>Step-by-step explanation:</u>
 48x - ky = 11
<u>-48x        </u>  <u> -48x</u>
          -ky = -48x + 11
           
    
             
 
Slope:  
 
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  (k + 2)x + 16y = -19
<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>
                  16y = -(k + 2)x - 19
                   
                   
Slope: 
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  and
 and  are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.
 are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.
 *
 *   = -1
 = -1
 = 1
 = 1
Cross multiply, then solve for the variable.
(k + 2)(k) = 16(48)
k² + 2k - 768 = 0
Use quadratic formula to solve:
k = -1 +/- √769
 
        
             
        
        
        
15% = 0.15
234.00 x 0.15 = 35.10
234.00 - 35.10 = 198.90
The camera will cost $198.90 after the discount.
        
                    
             
        
        
        
This is going to be an long answer, so I'm putting the answer first. y=3x-7
First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3
Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is 
y+1=3(x-2)
Which simplifies to 
y=3x-7
Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
        
                    
             
        
        
        
Answer 
:2 X 0.018 = 0.036 (thirty six hundreds)
Step-by-step explanation: