A map of the locations of the municipal office and a university building is drawn and plot in the coordinate plane, the coordinates of the municipal office are (14, 28) and the university building is at (89, 75). If each unit on the coordinate plane is equivalent to 3 meters, what is the distance between the municipal office and the university building?

Two charging stations were built at a coastal area to provide the melectricity. The location of these two stations are drawn in a coordinate plane. Kalinga’s charging station is located at point (6, 2) and Kasangga’s charging station is placed at point (8, -3). If Charlene’s location is at point(-9, -5), where should she charge her phone considering that distance is a factor?

Jin has a tracking device showing the position of the motorcycles of his two friends, Jack and Jade. The device shows that when locating in a coordinate plane, Jack who is driving his motorcycle, is located at the coordinates (12,11) and is traveling at a speed of 70 kph. Behind Jack, Jade is also driving his motorcycle and is traveling in the same direction with Jack at a speed of90kph whose coordinates are (3, 4). What is the distance between the two motorcycles if each unit on the coordinate plane is 1 kilometer?

Joshua, Joan, Joy, and Julie are students of NAVERA High School. When plot in a coordinate plane, Joshua’s house is located at (-10, 6), Joan’s house is at (-3, -13), Joy’s house is at (11, -8) and Julie’s house is at (7, 9). If each unit in the coordinate plane is 10 meters, how long is the distance between the school and the house of the student who lives the nearest among the others?

A map showing the areas where the different barangays are located is plot on a coordinate plane. Assume that the coordinates of Brgy. Cabacao is (4, 4)and Brgy. Wawa is located at (12, 16). What is the shortest distance (in km) between the two barangays if each unit on the coordinate plane is 500 meters?