Let <span>the town courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
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Use the distance formula 

 to get the <span>distance between lawyer's home and office: 
</span><span>
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Answer: 25 miles.
 
        
        
        
First you must distribute the minus sign to the number bolded bellow:
(-7 + 3i) - (2 - 6i)
(-7 + 3i) + (-2 + 6i)
-7 + 3i - 2 + 6i
Now you must combine like terms. Imaginary numbers can only combine with imaginary and real number can only be combined with real numbers:
(-7 + (-2) ) + (3i + 6i)
-9 + 9i
I hope this helped! Let me know if you have any questions :)
~ Just a girl in love with Shawn Mendes
 
        
             
        
        
        
Answer:
the first one goes by 4n-1
the Second sequence goes by 3n + 13
Step-by-step explanation:
using the formula an=a1+d(n-1)
 
        
             
        
        
        
Answer:
Options A) and E)
Step-by-step explanation:
If you use Ruffini's method for polynomials, you can find the roots.
The given picture shows us the first root of the polynomial  wich is 2.
 wich is 2.
Thus, the original polynomial can be written as 

Here, you can notice that (x-2) is a factor