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Segment ab, shown below, is divided into 5 equal parts. point a is located at (-6,7), and point d is located at (-2,3). Aᵒ\ Cᵒ\ Dᵒ\ Eᵒ\ Fᵒ\ Bᵒ\ What are the coordinates of Point F? A. (10,13) B. (2,-1) C. (10,-1) D. (6,1)

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User ZOqvxf
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1 Answer

4 votes

Final answer:

Without the coordinates of Point B, we cannot determine the coordinates of Point F by subdividing the segment AB into equal parts. More information is needed to accurately answer the student's question.

Step-by-step explanation:

To find the coordinates of Point F in a segment divided into equal parts, we need to understand that we are working with the concept of a linear interpolation or vector addition. Since Point A is at (-6,7) and Point D is at (-2,3), each segment represents 1/5 of the total distance between Points A and B. If Point D is the 3rd point, we need to find the total vector displacement from Point A to Point B and divide it by the number of segments to get the coordinates of each point along the segment.

However, the given coordinates in the question do not provide enough information to determine the coordinates of Point F directly. We would need to know the coordinates of Point B to complete the subdivision of the segment into equal parts. Without the information about Point B, we cannot conclude which of the multiple-choice answers is the location of Point F. Therefore, we would need additional information to answer this question accurately.

answered
User Kory Hodgson
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7.5k points

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