The precise distance, to the nearest hundredth of a unit, between the Smart Gas Station and the Smart School in this smart city is approximately 25.61 units.
To find the distance between the Smart Gas Station and the Smart School, we can use the Euclidean distance formula: sqrt((x2 - x1)^2 + (y2 - y1)^2).
Let's substitute the coordinates of the Smart Gas Station and the Smart School into the formula:
Distance = sqrt((10 - 6)^2 + (-12 - 8)^2)
Distance = sqrt(16^2 + (-20)^2)
Distance = sqrt(256 + 400)
Distance = sqrt(656)
Using a calculator, we find that the precise distance, to the nearest hundredth of a unit, between the Smart Gas Station and the Smart School is approximately 25.61 units.
The probable question may be:
In a smart city, five key technological points are strategically located, as represented on a coordinate plane. The smart points include a Smart Library, Smart School, Smart Grocery Store, Smart Gas Station, and Smart Restaurant. The x and y coordinates of each point are given. The Smart School is pioneering a distance-based notification system for its students. What is the precise distance, to the nearest hundredth of a unit, between the Smart Gas Station and the Smart School?
Additional Information:
Smart Library: (x, y) = (-8, -10)
Smart School: (x, y) = (6, 8)
Smart Grocery Store: (x, y) = (-2, -6)
Smart Gas Station: (x, y) = (10, -12)
Smart Restaurant: (x, y) = (4, -2)
Consider the Euclidean distance formula root (x2−x1)^2+(y2−y1)^2 for calculating distances in the coordinate plane.
What is the distance between the Smart Gas Station and the Smart School to the nearest hundredth of a unit in this technologically advanced city?