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Home >All Categories > Science & Mathematics >Mathematics >Open Question kchp88 Member since:May 13, 2010Total points:24 (Level 1)If an animal is h feet high at the shoulder, then the number N of steps per second that the animal takes while walking can be estimated by N(h) = 1.6h^-1/2. Estimate the stepping frequency of a dog that is 2.6 feet high at the shoulders.Answer Question

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Pythagorean Identity
sin^2(x) + cos^2(x) = 1
or
cos^2(x) = 1 - sin^2(x)

substitute it into the left hand side

1 - sin^2(x) - sin^2(x) = 1 - 2sin^2(x)

Now LHS = RHS

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Answer: (3x-6)(2x+3)

First think of two numbers thatd equal 6x^2, this being 3x and 2x. Place these numbers in their respective positions: (3x ----)(2x----)

Next think of two numbers that when multiplied equal 18. There are these options:
a) 9 x 2
b) 6 x 3
c) 18 x 1

Which of these sets of numbers that when subtracted from one another would equal 3? The answer is b) 6x3.

Thus you can plug these numbers into the factorization:
(3x-6)(2x+3)

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