9514 1404 393
Answer:
(x +3)² +(y -2)² = 185
(x -10)² +(y +2)² = 185
Step-by-step explanation:
One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.
The radius can be found from the distance formula:
r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185
The circle formula is ...
(x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r
The above equations and the ones shown in the attachment are possibilities.
Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:
The expected value of robbing the cash register is:
Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.