You start searching for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive, and coordinates to the south or west are negative. You find nothing at (-10, 6), so you try a likely looking spot 3 yards to the east and 12 yards to the south of the first spot. What are the likely coordinates of the second spot?
since east is +x
and south is -y
(-10,6)+(3,-12) = (-7,-6)
The likely coordinates of the second spot can be calculated by adding the distances to the first spot.
The first spot is located at (-10, 6). Adding 3 yards to the east means moving 3 units in the positive x-direction. Adding 12 yards to the south means moving 12 units in the negative y-direction.
So, to find the second spot, we add 3 to the x-coordinate and subtract 12 from the y-coordinate of the first spot:
x-coordinate of second spot = -10 + 3 = -7
y-coordinate of second spot = 6 - 12 = -6
Therefore, the likely coordinates of the second spot are (-7, -6).
To find the likely coordinates of the second spot, we need to add the given distances to the coordinates of the first spot.
The first spot is located at coordinates (-10, 6).
We are asked to move 3 yards to the east, which means adding 3 to the x-coordinate (east is positive).
Adding 3 to -10 gives us -7.
Next, we are asked to move 12 yards to the south, which means subtracting 12 from the y-coordinate (south is negative).
Subtracting 12 from 6 gives us -6.
Therefore, the likely coordinates of the second spot, which is 3 yards to the east and 12 yards to the south of the first spot, are (-7, -6).