The gcf of 24 and 48 is 24
Base case: For
, the left side is 2 and the right is
, so the base case holds.
Induction hypothesis: Assume the statement is true for
, that is

We want to show that this implies truth for
, that

The first
terms on the left reduce according to the assumption above, and we can simplify the
-th term a bit:


so the statement is true for all
.
Answer:
They do not.
Step-by-step explanation:
a² + b² = c² c is the hypotenuse
9² + 12² = 17²
81 + 144 = 289
225 ≠ 289
Answer:
D. 3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The constant of proportionality In the equation y=2x is 2. For every unit by which x increases, y increases twice as much.