I have a question on math if I start to look for a object hidden by making 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. And I find nothing at (-12,8), so I try a likely-looking spot 3 yards to the east and 11 yards to the south of the first spot. Can you explain what are the coordinates of the second spot?

Is it (-9,19) ?

Your first coordinate is correct as -9

for the 2nd, you are at 8 and are going south for 11
so 8-11 = -3

your new point is (-9,-3)

South okkkkk I got it thanks. : )

Ira makes an A on 80% of his tests. In the next week, Ira has 5 final exams. He wants to determine the probability that he makes an A on 4 of the 5 tests.

To determine the coordinates of the second spot, you need to add or subtract the given distances from the coordinates of the first spot.

The first spot is located at (-12, 8). Since you're moving east (+3 yards) and south (-11 yards) from this spot, you need to add 3 to the x-coordinate and subtract 11 from the y-coordinate.

Adding 3 to the x-coordinate of -12 gives -12 + 3 = -9. Subtracting 11 from the y-coordinate of 8 gives 8 - 11 = -3.

Therefore, the coordinates of the second spot are (-9, -3).

It seems like you made a mistake in your calculation, as you wrote (-9, 19) instead of (-9, -3).