(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1
 
        
             
        
        
        
Answer:
Step-by-step explanation:
cost is 20 fee + .25 per mile. 
c =20+0.25m
 
        
             
        
        
        
<h3><u>given</u><u>:</u></h3>
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</u>
<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>
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</u>
<h3><u>solution</u><u>:</u></h3>
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</u>
<u>
</u>
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</u>
<u>
</u>
<u>
</u>
<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>correct</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>option</u><u> </u><u>E</u><u>.</u>
 
        
                    
             
        
        
        
Answer:
14 miles
added with the miles she warmed up is 17 miles
 
        
                    
             
        
        
        
4.05-2.74=1.31
The difference is 1.31 pounds.