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AleksAgata [21]

3 years ago

9

Please answer! It’s due today!!

1 answer:

snow_lady [41]3 years ago

4 0

Answer:

6

Step-by-step explanation:

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Nataliya [291]

(2 x 1000000) + (4 x 100000) + (0 x 10000) + (8 x 1000) + (6 x 100) + (1 x 10) + (5 x 1)

4 0

3 years ago

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

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3 years ago

Julio takes a multivitamin and a calcium vitamin every day . One at a time , he randomly pulled 8 cherry, 5 grape, and 7 orange

katen-ka-za [31]

Answer: 21/40

Step-by-step explanation:

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The area of a rectangle is 35 ft2 , and the length of the rectangle is 8 ft less than three times the width. find the dimensions

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The width is five feet and the length is seven feet.

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Ana’s age is 8 years less than 4 times her sister’s age.

allsm [11]

(5•4)-8 the answer is 12 because 5 times 4 is 20. Then 20 minus 8 is 12.

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3 years ago