Question

troop 175 is designing the new campground by mapping it on a coordinate grid. they found locations for the mess hall and their cabins. they want the bathrooms to be halfway between these two places. what are the coordinates of the bathroom location? cabins ( 6,3 ) ( -4,-1 )

Answer 1

To find the location of the bathrooms that are halfway between the two cabins, average the x-coordinates and the y-coordinates of the cabins to find the midpoint. The midpoint and therefore the location of the bathrooms is at coordinates (1,1).

Step-by-step explanation:

The displacement of an object refers to its change in position and is a vector quantity, which means it has both magnitude and direction. When the student asks for the coordinates of the bathroom location, they are looking for a point that is exactly halfway between the cabins' coordinates. To find the midpoint between two points on a coordinate grid, you simply average the x-coordinates and the y-coordinates.

Steps to Find the Midpoint

Take the x-coordinates (6 and -4), add them together, and then divide by 2 to get the x-coordinate of the midpoint: (6 + (-4)) / 2 = 1.

Take the y-coordinates (3 and -1), add them together, and then divide by 2 to get the y-coordinate of the midpoint: (3 + (-1)) / 2 = 1.

Combine these to get the coordinates of the bathroom location: (1, 1).

The bathrooms should be located at the midpoint between the two cabins, which is at coordinates (1,1).