How do you graph #(x-3)^2+y^2=16#?
Please see below.
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To graph the equation ( (x - 3)^2 + y^2 = 16 ):
- Recognize that the equation represents a circle with center (3, 0) and radius 4.
- Plot the center point at (3, 0).
- Use the radius of 4 to plot points around the center: (7, 0), (-1, 0), (3, 4), and (3, -4).
- Connect these points to form the circle.
This circle is centered at (3, 0) with a radius of 4.
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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.
- A triangle has corners at #(2 , 2 )#, #(1 ,3 )#, and #(6 ,4 )#. What is the radius of the triangle's inscribed circle?
- A triangle has corners at #(4 ,7 )#, #(1 ,3 )#, and #(6 ,5 )#. What is the area of the triangle's circumscribed circle?
- A circle has a center at #(3 ,0 )# and passes through #(0 ,1 )#. What is the length of an arc covering #(3pi ) /4 # radians on the circle?
- A circle's center is at #(2 ,1 )# and it passes through #(0 ,7 )#. What is the length of an arc covering #(5pi ) /12 # radians on the circle?
- A triangle has vertices A, B, and C. Vertex A has an angle of #pi/8 #, vertex B has an angle of #(pi)/12 #, and the triangle's area is #6 #. What is the area of the triangle's incircle?

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