Four points are placed on a circle. How many segments will it take to connect each point to every other point?
2 answers:
Answer:
6 segments are required to connect each point to every other point.
Step-by-step explanation:
If four points are placed on a circle.Then as we know the segment is a line that join two points.
Now as we are given four points on the circle.
- so we will firstly start with the first point; the first point requires 3 segments to connect to the remaining three points.
- Next second point will just require 2 segments to connect to the two points as it is already connected to the first point.
- similarly third point requires just one segment to connect to the last point as it is already connected to first and second point as done above.
- and hence by the above three steps the fourth point is connected to all the points.
Hence, 6 segments are required to connect each point to every other point.
You might be interested in
Answer:
U₂₁ and U₂₂ fits in the line of upper triangular
Step-by-step explanation:
As explain in the question
An upper triangular matric is square matrix with all zeros below its daignal. A lower triangular matrix is a square matrix with all zeros above its diagonal.
(as shown in the attached image)
(a)for all 3×3 upper triangular matirices U, verify that U2 is also upper triangular
for a matrices U (having a 3*3 matrix), assuming for example, U is given below:
U =
the element in the upper triangular are 1,2,3,5,6,9 (U₁₁, U₁₂, U₁₃; , U₂₂, U₂₃, U₂₂)
while lower triangular are 0,0,0, the element in the lower triangular are (U₂₁, U₃₁,U₃₂)
U₂₁ and U₂₂ fits in the line of upper triangular
