Answer:
h(3) = 35
Step-by-step explanation:
Simplify h(t) = 16t - 4t - 1 to h(t) = 12t -1
Then, plug 3 into the t
h(3) = 12*3 - 1 = 36 - 1 = 35
The Pythagorean theorem tells you ...
... c² = a² + b²
... 13² = 12² + b² . . . . . fill in the given numbers
... 169 - 144 = b² . . . . .subtract 12²
... √25 = b . . . . . . . . . take the square root
... b = 5 . . . . . . The value of b you're looking for.
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The numbers {5, 12, 13} make what is called a "Pythagorean triple" a set of integers that satisfies the relation of the Pythagorean theorem. These, and the triple {3, 4, 5} are often seen in algebra problems. It can be worthwhile to remember these numbers.
