Directed Line Segments and Modeling

Question 1

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/91167c3122b4fdbbaf1053fcce60666a.png

Question 2

Analyze the student’s work. Is the answer correct? Explain.

Revolt · Accepted Answer

No, the student should have added 3 + 4 to get the total number of sections, and used the fraction [image 1] instead of [image 2] .

Question 3

What are the coordinates of point P on the directed line segment from R to Q such that P is the length of the line segment from R to Q? Round to the nearest tenth, if necessary.

Revolt · Accepted Answer

-3.5; 2.3

Question 4

Question 5

Revolt · Accepted Answer

19.3

Question 5

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.

Revolt · Accepted Answer

x =: -2.6; y =: 5.2

Question 6

⇒ -1

Revolt · Accepted Answer

112806; -0.5; -1

Question 7

Question 8

Revolt · Accepted Answer

-0.5

Question 8

In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the directed line segment from K to N in a ratio of 1:2. Point M partitions the directed line segment from L to N in a ratio of 3:1. What are the coordinates of point M? Round to the nearest tenth, if necessary.

Revolt · Accepted Answer

(5.7, 2.2)

Directed Line Segments and Modeling Answers

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