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Yuki888 [10]
3 years ago
12

Simplify EXPLAIN your answer.

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0
\frac{x-5}{ x^{3} +27} +  \frac{2}{ x^{2} -9} =  \frac{x-5}{ x^{3}+27 } +  \frac{2}{(x+3)(x-3)}  \\  \\ long-division.. \\  (x^{3} +27)/(x+3) =  x^{2} -3x+9 \\  \\  \frac{x-5}{(x+3)( x^{2} -3x+9)} +  \frac{2}{(x+3)(x-3)}   \\  \\  \frac{x-5}{(x+3)( x^{2} -3x+9)}* \frac{x-3}{x-3}  +  \frac{2}{(x+3)(x-3)} * \frac{x^{2} -3x+9}{ x^{2} -3x+9} =  \frac{(x-5)(x-3)+2( x^{2} -3x+9)}{(x+3)(x-3)( x^{2} -3x+9)}

\frac{(x-5)(x-3)+2( x^{2} -3x+9)}{(x+3)(x-3)( x^{2} -3x+9)} = \frac{ x^{2} -8x+15+2x^{2} -6x+18}{(x+3)(x-3)( x^{2} -3x+9)}  \\  \\ \frac{ 3x^{2} -14x+33}{(x+3)(x-3)( x^{2} -3x+9)}
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Find the distance from point C to point D.
sineoko [7]

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The distance from point C to point D is 258.8 meters.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The distance from point C to D is equal to the distance from point A to B. Therefore, the height of the building can be written as,

Tan(25°) = AB / BC

Tan(25°) × 555 m = AB

AB = 258.8 meters

Hence, the distance from point C to point D is 258.8 meters.

Learn more about Tangent (Tanθ):

brainly.com/question/10623976

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3 years ago
The asymptote of the function f(x) = 3x + 1 – 2 is . Its y-intercept is
Alekssandra [29.7K]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
2/3 of a class are girls. A) what is the ratio girls to boys in the class? B) what is the ratio boys to girls in the class
tekilochka [14]

a) 2:1

b) 1:2

2/3 are girls so 1/3 are boys

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What is the missing number in this sequence:<br> 1, 16, __, 100, 169
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Step-by-step explanation:

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4 years ago
Determine the value of x in the system of equations.<br><br> 3x+2y=25<br> 6x-y=40
Leya [2.2K]
I got 7 if you are trying to look for the value of x than you multiply the bottom by two to have the y's equal. It should be 
3x+2y=25
12x-2y=80
Since the twos mark each other out it would be
3x=25
12x=80
You add the top and bottom so it becomes one like this
15x=105
Divide 15 on both sides and it should give you 7.
X=7
5 0
3 years ago
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