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Natasha_Volkova [10]
3 years ago
11

Please help in the math

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
8 0

Answer:

\rm \displaystyle \frac{x + y}{x - y} + \frac{x - y}{x + y} - \frac{2( {x}^{2} - {y}^{2}) }{ {x}^{2} - {y}^{2} } =  \boxed{ \displaystyle  \frac{4y ^2}{(x - y)(x + y)} }

Step-by-step explanation:

we want to simplify the following

\rm \displaystyle \frac{x + y}{x - y} + \frac{x - y}{x + y} - \frac{2( {x}^{2} - {y}^{2}) }{ {x}^{2} - {y}^{2} }

notice that we can reduce the fraction thus do so:

\rm \displaystyle \frac{x + y}{x - y} + \frac{x - y}{x + y} - \frac{2 \cancel{( {x}^{2} - {y}^{2}) }}{  \cancel{{x}^{2} - {y}^{2} }}

\rm \displaystyle \frac{x + y}{x - y} + \frac{x - y}{x + y} - 2

in order to simplify the addition of the algebraic fraction the first step is to figure out the LCM of the denominator and that is (x-y)(x+y) now divide the LCM by the denominator of very fraction and multiply the result by the numerator which yields:

\rm \displaystyle \frac{x + y}{x - y} + \frac{x - y}{x + y} - 2  \\   \\ \displaystyle  \frac{(x + y)^2 + (x - y)^2 - 2(x + y)(x - y)}{(x - y)(x + y)}

factor using (a-b)²=a²+b²-2ab

\rm \displaystyle  \frac{(x + y-(x - y) )^2}{(x - y)(x + y)}

remove parentheses

\rm \displaystyle  \frac{(x + y-x + y) )^2}{(x - y)(x + y)}

simplify:

\rm \displaystyle  \frac{4y ^2}{(x - y)(x + y)}

aivan3 [116]3 years ago
7 0

9514 1404 393

Answer:

  4y²/(x² -y²)

Step-by-step explanation:

The expression simplifies as follows:

  \dfrac{x+y}{x-y}+\dfrac{x-y}{x+y}-\dfrac{2(x^2-y^2)}{x^2-y^2}\\\\=\dfrac{(x+y)(x+y)+(x-y)(x-y)-2(x^2-y^2)}{(x-y)(x+y)}\\\\=\dfrac{(x+y)^2+(x-y)^2-2(x^2-y^2)}{x^2-y^2}\\\\=\dfrac{(x^2+2xy+y^2)+(x^2-2xy+y^2)-2(x^2-y^2)}{x^2-y^2}\\\\=\dfrac{2(x^2+y^2-(x^2-y^2))}{x^2-y^2}=\boxed{\dfrac{4y^2}{x^2-y^2}}

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Step-by-step explanation:

3 0
2 years ago
Please help with this will give brainliest to the first answer!
kozerog [31]

Answer:

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Step-by-step explanation:

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2 years ago
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6 0
3 years ago
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luda_lava [24]

The exponential equation of the model is A(t) = 2583 * 0.88^t and the multiplier means that the number of new cases in a week is 88% of the previous week

<h3>The function that models the data</h3>

The given parameters are:

New, A(t) = 2000

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The function is represented as:

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2000 = A * (1 - 12%)^t

This gives

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2 weeks ago implies that;

t = 2

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2000 = A * 0.88^2

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A = 2583

Substitute A = 2583 in A(t) = A * 0.88^t

A(t) = 2583 * 0.88^t

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<h3>The interpretation of the multiplier</h3>

In this case, the multiplier is 88% or 0.88

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brainly.com/question/2456547

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The tax rate on Jerome Jame's $112,000 vacation home is 25 mills. The property is assessed at full value. How much will Jerome p
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Answer: A. $2,800


Step-by-step explanation:

Given: The value of Jerome's home= $112,000

Thus, the assessment of the property = $112,000

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6 0
3 years ago
Read 2 more answers
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