Answer:
The statement is true is for any .
Step-by-step explanation:
First, we check the identity for :
The statement is true for .
Then, we have to check that identity is true for , under the assumption that
is true:
Therefore, the statement is true for any .
Step-by-step explanation:
Answer:
24 kilometers.
Step-by-step explanation:
The shortest path between two points is a straight segment that connects the two points.
Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.
The length of the hypotenuse can be found with the Pythagorean Theorem.
.
The length of the round-trip will equal to the sum of the length of the three segments: .
