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Bad White [126]
2 years ago
6

Verify the identity. Justify each step.

Mathematics
1 answer:
ANEK [815]2 years ago
4 0
So. Allow me to justify what i just did.
First line: by definition, tangent in sine/cosine, and cotangent is the reciprocal of that.
Second line: You have to multiply by (\frac{sin cos}{sincos}) to get a common denominator, so you get the second line.
Third line: Canceling stuff out. to get that.
Fourth line: Adding them together since they now have common denominators.
Fifth line: By terms of the pythagorean identity, sin^{2}+cos^{2}=1. so that is equal to the right side. 
Thus verified.

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Answer:

5) Part A: The rate of change, also known as the slope, is the "0.6x" part of the equation. It means that for every week the puppy is alive, x, that number is multiplied by 0.6 pounds.

Part B: The y-intercept is 4 pounds, which represents a puppy being 4 pounds at birth.

Part C: y = 0.6x + 4

y = 0.6(8)+4

y = 8.8

At 8 weeks, a puppy is estimated to be 8.8 pounds.

Part D: y = 0.6x + 4

22 = 0.6 + 4

-4              -4

18 = 0.6x

18/0.6 = 0.6x/0.6

30 = x

It would take a puppy 30 weeks to reach 22 pounds.

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