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3 years ago

(2x/x+3)+(x+3/x-5) in simplest form

Mathematics

1 answer:

olga2289 [7]3 years ago

8 0

Answer:

Below

Step-by-step explanation:

(2x/x+3) + (x+3/x-5)

Transform: 2x(x-5) + (x+3)^2 / (x+3)(x-5)

Remove brackets and expand : 2x^2 - 10x + x^2 + 6x + 9 / x^2 - 5x + 3x - 15

Collect like terms : 3x^2 - 4x + 9 / x^2 - 2x - 15

Final answer: 3x^2 - 4x + 9 / x^2 - 2x - 15

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Need help quickly, please and thank you;

gulaghasi [49]

F(x) = y = -1/3x + 0
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I don’t think that you have to include the y in the equations. It really depends on what your teacher wants. ;)

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3 years ago

A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

frutty [35]

Answer:

The length of the wire is 76.19 m.

Step-by-step explanation:

It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

It means base of the right angled triangle is 40 m.

The wire makes an angle of 58deg 20min with the ground.

1 degree = 60 min

Using this conversion convert the given angle in degree.

$58^{\circ}20'=58^{\circ}\frac{20}{60}^{\circ}=58\frac{1}{3}^{\circ}=\frac{175}{3}^{\circ}$

In a right angled triangle

$\cos \theta=\frac{adjacent}{hypotenuse}$

$\cos (\frac{175}{3}^{\circ})=\frac{40}{hypotenuse}$

$0.525=\frac{40}{hypotenuse}$

$hypotenuse=\frac{40}{0.525}$

$hypotenuse=76.190$

Therefore the length of the wire is 76.19 m.

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3 years ago