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Chapter 3: Problem 33

In which quadrants are the \(y\) -coordinates positive?

Short Answer

Expert verified
The y-coordinates are positive in Quadrants 1 and 2.

Step by step solution

01

Identifying the Quadrants

A standard Cartesian plane is divided into 4 quadrants, where Quadrant 1 is in the upper right, Quadrant 2 is in the upper left, Quadrant 3 is in the lower left, and Quadrant 4 is in the lower right.
02

Understanding the Sign of Coordinates in Each Quadrant

In Quadrant 1, both x and y coordinates are positive. In Quadrant 2, x coordinate is negative while y coordinate is positive. In Quadrant 3, both x and y coordinates are negative. Lastly, in Quadrant 4, x coordinate is positive while y coordinate is negative.
03

Finding the Quadrants where Y-coordinate is positive

Referring to the coordinates' signs in each quadrant from Step 2, the quadrants where y-coordinate is positive are Quadrants 1 and 2.

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