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3 years ago

Find the complete quotient when P(x) is divided by the binomial following it.

Mathematics

1 answer:

Nutka1998 [239]3 years ago

4 0

Answer:

$Q(x) = x -11$

Explanation:

<em>Please refer to the attached image for the Solution</em>

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(1+cos2x)/(1-cos2x) = cot^2x

sesenic [268]

We will turn the left side into the right side.

$\dfrac{1 + \cos 2x}{1 - \cos2x} = \cot^2 x$

Use the identity:

$\cos 2x = \cos^2 x - \sin^2 x$

$\dfrac{1 + \cos^2 x - \sin^2 x}{1 - ( \cos^2 x - \sin^2 x)} = \cot^2 x$

$\dfrac{1 - \sin^2 x + \cos^2 x }{1 - \cos^2 x + \sin^2 x} = \cot^2 x$

Now use the identity

$\sin^2 x + \cos^2 x = 1$ solved for sin^2 x and for cos^2 x.

$\dfrac{\cos^2 x + \cos^2 x }{\sin^2 x + \sin^2 x} = \cot^2 x$

$\dfrac{2\cos^2 x}{2\sin^2 x} = \cot^2 x$

$\dfrac{\cos^2 x}{\sin^2 x} = \cot^2 x$

$\cot^2 x = \cot^2 x$

8 0

3 years ago

Julio spent $40 and now has no money left. He had _before his purchase

ser-zykov [4K]

Answer:

$40

Step-by-step explanation:

If he spent $40 and has none left that means he currently has $0.

If you subtract $40 - b = $0

b = $40

7 0

3 years ago

What is the density of a 64-g iron cube that displaces 8 mil of water?

Korvikt [17]

Answer: 8gml

Step-by-step explanation:

4 0

3 years ago

I need help with my math

ASHA 777 [7]

Given an expression

$\begin{gathered} y+\frac{3}{8}\text{ = }\frac{-2}{3}\text{ } \\ \text{collect like terms} \\ y=\text{ }\frac{-2}{3}\text{ - }\frac{3}{8} \\ y\text{ = }\frac{-16-9}{24} \\ \text{LCM = 24} \\ y=\text{ }\frac{-25}{24} \\ y=\text{ -1}\frac{1}{4} \end{gathered}$

8 0

1 year ago

The roof of a building is 9 m high. A rope is tied from the roof to a peg on the ground 12 m away from the wall. What is the len

Alexus [3.1K]

Answer:

15 m

Step-by-step explanation:

Height of buiding h= 9m

Lenght from building l= 12m

let the length of the rope be x=???

Applying Pythagoras theorem

x^2=h^2+l^2

x^2= 9^2+12^2

x^2= 81+144

x^2=225

square both sides

x=√225

x=15 m

Hence the length of the rope is 15 m

7 0

3 years ago