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Pani-rosa [81]
2 years ago
15

Choose the correct simplification of the expression a^12b^8/a^2 b^4.

Mathematics
1 answer:
inysia [295]2 years ago
6 0
\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
\cfrac{a^{12}b^8}{a^2b^4}\implies a^{12}a^{-2}b^8b^{-4}\implies a^{12-2}b^{8-4}\implies a^{10}b^4
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11: angles ratio is 2:4:6. Remember that all angles equal 180. Add the ratio amounts, 2+4+6= 12.  Then divide 180 by 12 (180/12 = 15).
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12: all three angles of a triangle adds up to 180. thus, 64 + 74 + x = 180
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Answer:

\text{1. } v=16t+\frac{h-c}{t},\\\text{2. }90\:\mathrm{ft/s}, \\\text{3. Cannot be determined}

Step-by-step explanation:

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vt=16t^2+h-c,\\\boxed{v=16t+\frac{h-c}{t}}

2. Using the equation we rearranged in part 1, we can substitute given values:

v=16(3)+\frac{131-5}{3},\\v=48+42=\boxed{90\:\mathrm{ft/s}}

3. We see from our equation in part 1 (v=16t+\frac{h-c}{t}) that when t=0, the denominator of our fraction will be equal to 0. Since we cannot divide by 0, the velocity remains undefined and cannot be determined.

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