Question

Po∫s A, B, and C are collinear on AC, and (AB:BC = 3:4). A is located at (3,10), B is located at (6,4), and C is located at (6,4). What are the coordinates of C? a) (6,4) b) (9,0) c) (12,4) d) (3,0)

Answer 1

To find the coordinates of point C, we can use the given ratio between AB and BC. Starting from point A, we can move 3/7 of the distance from A to C to find point B. Similarly, we can move 4/7 of the distance from B to C to find point C. The coordinates of point C are (4,4).

Step-by-step explanation:

To find the coordinates of point C, we can use the given ratio between AB and BC. Since AB is 3 units and BC is 4 units, we can think of AB as representing 3 parts and BC as representing 4 parts along the line AC. Starting from point A, we can move 3/7 of the distance from A to C to find point B. Similarly, we can move 4/7 of the distance from B to C to find point C. Using this information, we can calculate the x-coordinate and y-coordinate of C:

x-coordinate of C: 3 + (4/7) * (6 - 3) = 4

y-coordinate of C: 10 + (4/7) * (4 - 10) = 4

Therefore, the coordinates of point C are (4,4).

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