Directed Line Segments and Modeling Answers

What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio?

Sample Response: A ratio of 1:2 means that there are 3 parts in total. One part will be before the desired point, and 2 parts will be after the desired point. This is the same as finding the point that is 1/3 the length. Half the length of the segment would mean there would only be two pieces, each of equal size. What did you include in your response? Check all that apply.A ratio of 1:2 means 1 part to 2 parts, for 3 parts total.The ratio 1:2 means 3 equal parts.The fraction 1/2 means the segmen

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary.

Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary.