Answer:
It is proved
Step-by-step explanation:
A curve immersed in the three-dimensional sphere is said to be a Bertrand curve if there exists another curve and a one-to-one correspondence between and such that both curves have common principal normal geodesics at corresponding points.
See attachment for the step by step solution of the given problem.
Answer:
Step-by-step explanation:
Given two points, the slope of the line can simply be calculated as

The least steep graph is y=1/2 x+2, or C, because the slope of the graph is the closest to 0, or being a flat horizontal line.
Answer:
Option B is correct.
Step-by-step explanation:
We have been given four inequalities and a graph we need to tell which one of these inequalities matches the graph.
So, the graph of each inequality is attached in the attachment.
Graphs attached in sequence of the inequality.
Therefore, Option B is correct.
Answer:
From the information, we know that the plate will hold 3 pieces of sushi, each with a diameter of 1 1/2 inches, and there be 1/2 inch space from the edge of the of the suchi to the edge of the plate.
The diamter of the suchi plates we need to puchase should be the sum of the diameter of the sushi and the the space between them and the edge of the plate:
(3 . 1 1/2) + (2 . 1/2)
= (3 . 3/2) + 1
= 9/2 + 1
= 9/2 + 2/2
= 11/2 = 5.5 (inches)