Directed Line Segments and Modeling

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What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ration of 1:2?
a. (0, 1)
What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1?
c. 0
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is 3/5 the length of the line segment from K + J?
a. (40, 96)
What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
a. 1
Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A to B? WhyC
a. P will be closer to A because it will be 3/7 the distance from A to B.
What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3?
c. 5
What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5?
b. -2
(Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race.)
4.4 meters
What are the x- and y- coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary.
d. (1.2, -4.7)
The midpoint of a line segment partitions the line segment into a ratio of
a. 1:1.
What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is 1/3 the length of the line segment from A to B?
c. (-4, -5)
If point P is 9/11 of the distance from M to N, then point P partitions the directed line segment from M to N into a _______ ratio.
9:2
Genevieve is cutting a 60-inch piece of ribbon into a ratio of 2:3.
She will make the cut _________ inches from the end of the ribbon.
25.2
Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segment?
c. The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4
On a number line, the directed line segment from Q to S has endpoints Q at -8 and S at 12. Point R partitions the directed line segment from Q to S in a 4:1 ratio.

Which expression correctly uses the formula to find the location of point R?
B.