Question
\( (-3,-3) \) would be in quadrant: I II III IV \( (7,-10) \) would be in quadrant: I II III IV
Ask by Schneider Peters. in the United States
Mar 13,2025
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Answer
(-3, -3) is in quadrant III, and (7, -10) is in quadrant IV.
Solution
To determine the quadrant in which a point lies, we need to consider the signs of the x and y coordinates.
1. For the point (-3, -3):
- The x-coordinate is negative, and the y-coordinate is also negative.
- Therefore, the point (-3, -3) lies in the third quadrant.
2. For the point (7, -10):
- The x-coordinate is positive, and the y-coordinate is negative.
- Therefore, the point (7, -10) lies in the fourth quadrant.
So, the correct quadrant assignments are:
- (-3, -3) is in quadrant III.
- (7, -10) is in quadrant IV.
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Simplify this solution Bonus Knowledge
The point \( (-3,-3) \) lies in the third quadrant, where both x and y coordinates are negative. In this quadrant, you'll find that the angles range from 180° to 270°. Meanwhile, the point \( (7,-10) \) falls into the fourth quadrant, where x is positive and y is negative. This quadrant contains angles from 270° to 360°, perfect for spotting those pesky negative y-values paired with positive x-values!
