Final answer:
The point (-(6)/(5),-(5)/(6)) lies in Quadrant III of the Cartesian coordinate system, where both x and y coordinates are negative.
Step-by-step explanation:
The point (-(6)/(5),-(5)/(6)) would lie in the Cartesian coordinate system's plane. To determine which quadrant the point lies in, we need to analyze the signs of the x-coordinate and the y-coordinate. The x-coordinate is negative, and the y-coordinate is also negative. In the Cartesian plane, the quadrant where both x and y are negative is Quadrant III.
In reference to the examples provided:
- 5-(+3) = 2 indicates the change of sign during subtraction operations.
- Positions towards the left being defined as negative and towards the right as positive relates to the orientation of the x-axis.
- The use of cosine and sine for angle measurements and coordinates, as shown in L5 cos 05 (150.0 m) cos 247° = -58.6 m, typically involves determining positions and displacements in two-dimensional space.
Together, these concepts aid in understanding that our point (-(6)/(5),-(5)/(6)), with a negative x-value and a negative y-value, is located in Quadrant III