A triangle has corners at #(2 ,9 )#, #(7 ,8 )#, and #(4 ,3 )#. How far is the triangle's centroid from the origin?
The triangle's centroid is
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To find the centroid of a triangle and its distance from the origin, follow these steps:
 Find the coordinates of the centroid by averaging the xcoordinates and ycoordinates of the triangle's vertices.
 Once you have the centroid's coordinates, calculate the distance between the centroid and the origin using the distance formula.
Let's calculate:

Find the centroid's coordinates: Average of xcoordinates: (2 + 7 + 4) / 3 = 13 / 3 Average of ycoordinates: (9 + 8 + 3) / 3 = 20 / 3 So, the centroid's coordinates are (13/3, 20/3).

Calculate the distance between the centroid and the origin: Distance = √((x2  x1)^2 + (y2  y1)^2) = √((13/3  0)^2 + (20/3  0)^2) = √((169/9) + (400/9)) = √(569/9) ≈ 7.52 units
Therefore, the distance between the centroid of the triangle and the origin is approximately 7.52 units.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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