They want the point D such that D is equally distant away from the three gates. Call the gates A, B, and C
They want
AD = BD = CD
If we draw a circle through those three points, then point D would be the center
This circle is known as the circumcircle as it goes through the three points
The center D is the circumcenter
So all you have to do is find the perpendicular bisector of two segments of the triangle, say of AB and BC. Then find where those perpendicular bisectors meet. That intersection would be point D. 
Since we don't have actual numbers or coordinates to work with, we can't go further and actually find out where point D is located in terms of (x,y) coordinates. However, you can still get a good idea using a compass and straightedge. 
        
             
        
        
        
Answer:
No real root.
Complex roots:

Step-by-step explanation:


There are no two integers whose product is 5 and whose sum is 2, so this trinomial is not factorable. We can use the quadratic formula.




Since we have a square root of a negative number, there are no real roots. If you have learned complex numbers, then we can continue.


 
        
                    
             
        
        
        
Answer:
the largest number that is less than (2+√3)^6 is 2701
Step-by-step explanation:
 








 
        
             
        
        
        
Answer:
Step-by-step explanation:
Use the formula 
 where P is the initial investment, r is the interest rate in decimal form, and t is the time in years. Filling in what we are given:
 where P is the initial investment, r is the interest rate in decimal form, and t is the time in years. Filling in what we are given:
 and simplifying a bit:
 and simplifying a bit:
 and a bit more:
 and a bit more:
A(t) = 5000(1.340095641) so
A(t) = 6700.48