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VikaD [51]
2 years ago
11

Write the logarithmic expression as a single logarithm with coefficient , and simplify as much as possible. Assume that all vari

able expressions represent positive real numbers.
1/2ln(b^2+1)-1/2ln(b+1)
Mathematics
1 answer:
Allushta [10]2 years ago
4 0

Answer:

hope you can understand

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Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Feliz [49]

Answer:

a) x(x-2)

b) 6x(2x+2)

dont know c and d sorry

Step-by-step explanation:

3 0
2 years ago
Compute the total pay:
stiv31 [10]

Answer:

$112.65

Step-by-step explanation:

7.25 x 8 = 58

58 + 54.65 = 112.65

3 0
2 years ago
A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300
densk [106]
Let p and m represent the numbers of miles in the plains and mountains, respectively.
.. p + m = 300 . . . . . . . the whole trip was 300 miles

time = distance/speed, so the trip time can be written as
.. p/90 + m/37.5 = 3 48/60
.. 5p + 12m = 1710 . . . . . . . . . . multiply by 450 to put in standard form

You can solve these two equations by any of several means. The variable p can be eliminated by subtracting 5 times the first from the second.
.. (5p +12m) -5(p +m) = 1710 -5*300
.. 7m = 210
.. m = 30

30 miles of the trip was through the mountains.
5 0
3 years ago
Read 2 more answers
Rationalize the denominator of sqrt -49 over (7 - 2i) - (4 + 9i)
zubka84 [21]
\sqrt{ \frac{-49}{(7-2i)-(4+9i) } } 


This one is quite the deal, but we can begin by distributing the negative on the denominator and getting rid of the parenthesis:

\frac{ \sqrt{-49}}{7-2i-4-9i}

See how the denominator now is more a simplification of like terms, with this I mean that you operate the numbers with an "i" together and the ones that do not have an "i" together as well. Namely, the 7 and the -4, the -2i with the -9i.
Therefore having the result: 

\frac{ \sqrt{-49} }{3-11i}

Now, the \sqrt{-49} must be respresented as an imaginary number, and using the multiplication of radicals, we can simplify it to \sqrt{49}  \sqrt{-1}
This means that we get the result 7i for the numerator.

\frac{7i}{3-11i}

In order to rationalize this fraction even further, we have to remember an identity from the previous algebra classes, namely: x^2 - y^2 =(x+y)(x-y)
The difference of squares allows us to remove the imaginary part of this fraction, leaving us with a real number, hopefully, on the denominator.

\frac{7i (3+11i)}{(3-11i)(3+11i)}

See, all I did there was multiply both numerator and denominator with (3+11i) so I could complete the difference of squares.
See how (3-11i)(3+11i)= 3^2 -(11i)^2 therefore, we can finally write:

\frac{7i(3+11i)}{3^2 - (11i)^2 }

I'll let you take it from here, all you have to do is simplify it further.
The simplification is quite straightforward, the numerator distributed the 7i. Namely the product 7i(3+11i) = 21i+77i^2.
You should know from your classes that i^2 = -1, thefore the numerator simplifies to -77+21i
You can do it as a curious thing, but simplifying yields the result:
\frac{-77+21i}{130}
7 0
3 years ago
Perimeter of a rectangle is 96m. if it's length is 3 times it's width , then find it's length and breadth.​
Stolb23 [73]

Answer:

breadth = 12

length = 36

Step-by-step explanation:

let the breadth be 'x'

length = 3x

p = 2l + 2b

96 = 2(3x) + 2(x)

x = 12

7 0
3 years ago
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