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slega [8]
2 years ago
6

A 25 foot ladder is set against the side of a house so that it reaches up 15 feet. If Damian grabs the ladder at its base and pu

lls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Mathematics
1 answer:
lapo4ka [179]2 years ago
6 0

Answer: 9.8 ft

Step-by-step explanation: did on delta math:)

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9514 1404 393

Answer:

  see below

Step-by-step explanation:

The applicable properties of exponents are ...

  (a^b)^c = a^(bc)

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__

  (-2^2)^{-6}\div(2^{-5})^{-4}=2^{-12}\div2^{20}=2^{-12-20}=\boxed{2^{-32}}\\\\2^4\cdot(2^2)^{-2}=2^{4+2(-2)}=2^0=\boxed{1}\\\\(2^2)^2\cdot (2^3)^{-3}=2^{2(2)+3(-3)}=2^{4-9}= \boxed{2^{-5}}\\\\(-2^{-4})^{-2}\cdot(2^2)^0=2^{(-4)(-2)}\cdot 1= \boxed{2^8}

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Please note that ...

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That is, since the outside exponent is even, the sign is immaterial. This is also true for the other expression containing -2. The result is positive.

8 0
2 years ago
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6 0
3 years ago
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