A gardener is planting herbs in a line in a garden. basil is located at point b, thyme is located at point t, and oregano is located at point o. a line segment b o with point t on the line segment between b and o if the distance between the basil and the oregano is 14 in and the distance between the basil and the thyme is 6 in, what is the distance between the thyme and the oregano?
a. 4 in
b. 8 in
c. 10 in
d. 20 in



Answer :

The distance between the thyme and the oregano is

  • b. 8 in

How to find the distance between thyme and the oregano

Information given from the question

basil is located at point b

thyme is located at point t

oregano is located at point o

a line segment b o with point t on the line segment between b and o

the basil and the oregano is 14 in

the distance between the basil and the thyme is 6 in

distance between the thyme and the oregano = ?

interpretations

a line segment b o with point t on the line segment between b and o

the total distance is b o = 14 in

b o = b t  + t o

14 = 6 + t o

t o = 14 - 6

t o = 8 in

The distance between the thyme and the oregano is 8 in along line segment b o.

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The distance between the thyme and oregano in the line segment is 8 in

Distance Between Points on Line Segment

The distance between any two points is the length of the line segment joining the points. There is only one line passing through two points. So, the distance between two points can be calculated by finding the length of this line segment connecting the two points.

In the line segment BO;

  • BO = 14 in
  • BT = 6 in
  • TO = ?

In the line segment BO;

BO = BT + TO

Let's substitute the values in the equation;

14 = 6 + TO

TO = 14 - 6

TO = 8 in

The distance between TO is 8in

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