Point A is at #(-4 ,5 )# and point B is at #(-3 ,7 )#. Point A is rotated #pi # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?
(4 , -5), difference ≈ 11.65
a point (x , y) → (-x ,-y)
hence A (-4 ,5) → A' (4 ,-5)
calculate AB
difference in length = 13.89 - 2.24 = 11.65
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The new coordinates of point A after rotating π clockwise about the origin are (5, 4). The distance between points A and B remains unchanged after the rotation.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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