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Montano1993 [528]
3 years ago
12

Four points partition the directed line segment from A to B. • Point P partitions the directed line segment from A to B into a 3

:4 ratio. • Point Q partitions the directed line segment from A to B into a 4:3 ratio. • Point R partitions the directed line segment from A to B into a 2:5 ratio. • Point S partitions the directed line segment from A to B into a 5:2 ratio. A number line has points A and B. A line is drawn from point A to point B. Which point will lie closest to B? P Q R S
Mathematics
2 answers:
malfutka [58]3 years ago
5 0

Extra Late, but:

Answer:

Point S

Step-by-step explanation:

I literally just did it.

Edge, January 2021

Alecsey [184]3 years ago
4 0

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

PB = \dfrac{4}{7}\times 7 = 4\ units

QB = \dfrac{3}{7}\times 7 = 3\ units

RB = \dfrac{5}{7}\times 7 = 5\ units

SB = \dfrac{2}{7}\times 7 = 2\ units

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, <em>S is closest to B</em>.

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