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tangare [24]
3 years ago
9

How do you simplify this

Mathematics
2 answers:
mestny [16]3 years ago
7 0
You ALWAYS remove parentheses first.

That gives you  [ 1/4 a⁴ b⁻² ] in the denominator, and then
you can start dividing the numerator and denominator by
their common factors ("canceling").
snow_lady [41]3 years ago
6 0
I think the answer to that might be 1/2 or .5ab^3 because I multiplied the bottom part -2*-2 which is 4ab^4 then the top part is 2ab -3+2= 2ab^-1 then divide 2/4 and subtract -1-4 so it's = 1/2 or .5ab^3
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A fireperson needs to use a ladder of 25 feet in length to rescue a cat that has become
svp [43]

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A, because the cat is only 15 feet in the air and the TREE is 50 feet

5 0
2 years ago
Write the expression that is represented by the phrase below.
Inga [223]

Answer:

y^2-(x+4)

Step-by-step explanation:

y^2-(x+4)

3 0
2 years ago
Read 2 more answers
If A+B+C=<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle" class="latex-formula"
seraphim [82]

Answer:

a + b + c = \pi \\  =  > c=  \pi - a - b \\  <  =  >  \tan(c)  =  \tan(\pi - a - b)  =  -\tan(a + b)

Step-by-step explanation:

we have:

\tan(a)  +  \tan(b)  +  \tan(c)  \\  =  \tan(a)  +  \tan(b)  -  \tan(a + b)  \\  =  \tan( a)  +  \tan(b)  -  \frac{ \tan(a) +  \tan(b)  }{1 -  \tan(a)  \tan(b) }  \\  =  \frac{ ( \tan(a) +  \tan(b)  ) \tan(a) \tan(b)  }{ \tan(a) \tan(b)  - 1 } (1)

we also have:

\tan(a)  \tan(b)  \tan(c)  \\  =  -  \tan(a)  \tan(b)  \tan(a + b)  \\  =  \frac{ -(\tan( a  )   + \tan(b) ) \tan(a)  \tan(b) }{1 -  \tan(a)  \tan(b) }  \\  =  \frac{( \tan(a)  +  \tan(b)) \tan(a)   \tan(b) }{ \tan(a) \tan(b)  - 1 } (2)

from (1)(2) => proven

5 0
3 years ago
Prove that if a is a natural number, then there exist two unequal natural numbers k and l for which ak−al is divisible by 10.
EastWind [94]
Assume a is not divisible by 10. (otherwise the problem is trivial). 
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
8 0
3 years ago
Read 2 more answers
Solve the following linear system of equations using substitution. <br> Y=3x-5<br> Y=2x-6
Anettt [7]
3x-5=2x-6
Move 2x to the same side as 3x.
3x-2x = x
X-5=-6
add 5 to the -6.
X = 5-6
X=-1
7 0
3 years ago
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