SOLUTION: how do i describe the possible locations, in terms of quadrants or axes, for point a(x, y) if x and y satisfy the following conditions...... A. XY< 0 ------ B. XY> 0 ---------- C.

Question 208856This question is from textbook merrill geometry applications and connections
: how do i describe the possible locations, in terms of quadrants or axes, for point a(x, y) if x and y satisfy the following conditions...... A. XY< 0 ------ B. XY> 0 ---------- C. XY=0 This question is from textbook merrill geometry applications and connections

Found 2 solutions by stanbon, jsmallt9:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
describe the possible locations, in terms of quadrants or axes, for point a(x, y) if x and y satisfy the following conditions......
A. XY< 0 ------
2nd or 4th quadrant
------------------------
B. XY> 0 ----------
1st or 3rd quadrant
-------------------
C. XY=0
Either x or y or both are on the x or y axis
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Cheers,
Stan H.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
These questions are not hard to answer if you understand
The coordinate plane: where are x's and y's are positive, negative and zero
How multiplication works: When do multiplications result in positive numbers, negative numbers and zero.

A) Where is xy < 0? In other words, where is x times y negative? The result of multiplying two numbers is negative only when one of the numbers is positive and one of the numbers is negative. So where so we find positive x's and negative y's? Answer: Quadrant IV. And where do we find negative x's and positive y's? Answer: Quadrant II.

B) Where is xy > 0? In other words, where is x times y positive? The result of multiplying two numbers is positive only when both numbers are positive or both numbers are negative. So where so we find positive x's and y's? Answer: Quadrants I. And where do we find negative x's and negative y's? Answer: Quadrant III.

C) Where is xy = 0? In other words, where is x times y zero? The result of multiplying two numbers is zero only when one or both of the numbers is zero. So where so we find zero x's? Answer: On the y-axis. And where do we find zero y's? Answer: On the x-axis.

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