Directed Line Segments and Modeling - Quiz Quiz

Question 1

What is the y -coordinate of the point that divides the directed line segment from cap j to cap k into a ratio of ratio of 5 to 1 ? y is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren y sub 2 minus y sub 1 close paren plus y sub 1

Revolt · Accepted Answer

C: 0

Question 2

Why is partitioning a directed line segment into a ratio of ratio of 1 to 3 not the same as finding 1 third the length of the directed line segment?

Revolt · Accepted Answer

B: The ratio given is part to part. The total number of parts in the whole is  1 plus 3 is equal to 4 .

Question 3

If point cap p is 9 over 11 of the distance from cap m to cap n , what ratio does the point cap p partition the directed line segment from cap m to cap n into?

Revolt · Accepted Answer

C: ratio of 9 to 2

Question 4

Point cap p partitions the directed line segment from cap A to cap b into the ratio ratio of 3 to 4 Will cap p be closer to cap A or cap b ? Why? Expand Image

Revolt · Accepted Answer

C: cap p  will be closer to  cap A  because it will be  3 sevenths  the distance from  cap A  to  cap b .

Question 5

The midpoint of a line segment partitions the line segment into a ratio of

Revolt · Accepted Answer

A: ratio of 1 to 1 .

Question 6

A directed line segment goes from point G(−6,−4) to point H(6,8) Point P divides the directed line segment into a ratio of 1:3 What is the location of point P ? x=(m)/(m+n)⁢(x_2−x_1)+x_1 y=(m)/(m+n)⁢(y_2−y_1)+y_1 Plot the point on the coordinate grid.

Revolt · Accepted Answer

[{"type":"point","points":[[-3,-1]]}]

Question 7

What is the location of point cap g , which partitions the directed line segment from cap f to cap d into an ratio of 8 to 5 ratio? Expand Image

Revolt · Accepted Answer

A: 1

Question 8

On a number line, the directed line segment from cap q to cap s has endpoints cap q at negative 8 and cap s at 12 Point cap r partitions the directed line segment from cap q to cap s in a ratio of 4 to 1 ratio. Which expression correctly uses the formula open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 to find the location of point cap r ?

Revolt · Accepted Answer

A: open paren the fraction with numerator 4 and denominator 4 plus 1 close paren times open paren 12 minus negative 8 close paren plus negative 8

Question 9

A directed line segment goes from point B(6,−2) to point C(−4,3) Point P is (4)/(5) the length of the line from B to C What is the location of point P ? x=(m)/(m+n)⁢(x_2−x_1)+x_1 y=(m)/(m+n)⁢(y_2−y_1)+y_1 Plot the point on the coordinate grid.

Revolt · Accepted Answer

[{"type":"point","points":[[-2,2]]}]

Question 10

What is the x - coordinate of the point that divides the directed line segment from cap j to cap k into a ratio of ratio of 2 to 5 ? x is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1

Revolt · Accepted Answer

A: negative 2

Directed Line Segments and Modeling - Quiz Quiz Answers

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