Are two perpendicular lines always, sometimes or never co-planar?
Always.
Perpendicular lines are defined as being co-planar, so therefore they always have to be co-planar or else they would be skew.
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Two perpendicular lines are always coplanar.
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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.
- Circle A has a center at #(1 ,8 )# and an area of #32 pi#. Circle B has a center at #(2 ,3 )# and an area of #28 pi#. Do the circles overlap?
- A line passes through #(5 ,9 )# and #(7 ,3 )#. A second line passes through #(3 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- What is the perimeter of a triangle with corners at #(1 ,2 )#, #(8 ,3 )#, and #(4 ,1 )#?
- Circle A has a center at #(-5 ,7 )# and a radius of #4 #. Circle B has a center at #(7 ,2 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?
- What is the perimeter of a triangle with corners at #(6 ,5 )#, #(9 ,1 )#, and #(3 ,8 )#?
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