I believe I did math correctly but am not sure. I need c explained

A woman leaves her home and heads out to run some errands. She first stops at the post office, then goes to the library, and then to the grocery store before returning home. The post office is approximately 12 miles west and 5 miles south of her home, the library is approximately 15 miles west and 8 miles north of her home, and the grocery store is approximately 4 miles east and 18 miles north of her home. Assume that this part of the town is a flat plane and that the destinations are connected by straight roads. 0 = origin a. Sketch and label a map of the woman's route. With her home as the origin of the coordinate 1. ( - 12 ,- 5 ) axes, assign coordinates to the four locations on her trip. 2. ( - 15 , 8 ) ( W N E 3.( 41, 18 ) - 15 b. Using the coordinates you assigned in part (a), find the distance that the woman drives on 2_ 2 her shopping trip. Round final distances to 2 decimal places. Clearly label all work. 2' X2= C2 # 2 (- 15, 8) 182 + 4 = ( 2 - 5# + - 12" C2 82 + 615= C 2 324 + 14 = 62 14 4+ 225 = 289 - 25+ 744 = -169 340 = 12 1 - 169 = 13 CZ = 6 / V289 = 17 1340 = 18.44 C = 13. VC = = C. Cz z C C- 17 C= 18.44 c. The speed limit on the road from the woman's house to the post office is 25 mi/h, the road 1.= 25 milk from the post office to the library is 35 mi/h, the road from the library to the grocery store is 30 mi/h, and the road from the grocery store back to the woman's house is 40 mi/h. Assuming the woman consistently drove the speed limit from one destination to the next, how long (in 2, 2 35 m/ hours) will she spend driving on her trip? Round answer to 2 decimal places. 3. 30mill 4. 40 milh. d. The fuel gauge in the woman's car reads that she has 50 mi until empty. Is this enough for her round trip? If not, between which destinations will she hit empty