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1 year ago

I think it is A but i am not sure can someone check and tell me if im wrong

Mathematics

1 answer:

nordsb [41]1 year ago

7 0

Answer: it is 1.8

Step-by-step explanation: you can look up this same qustion and find it on branly <3 your right

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

IceJOKER [234]

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

Step-by-step explanation:

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

3 0

2 years ago

Which is the equation of an ellipse centered at the origin with foci on x-axis, x-intercepts +7, -7 and y-intercepts +2,

Aleks04 [339]

We know that
foci on x-axis-------> is a ellipse with horizontal major axis

the equation is
(x²/a²)+(y²/b²)=1

major axis is the x-axis with length 2a
2a=14--------> a=7

minor axis is the y-axis with length 2b
2b=4-----> b=2

the equation is
(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1

the answer is
(x²/49)+(y²/4)=1

see the attached figure

7 0

2 years ago

Jason has already used 4/12 cans of paint while painting furniture. He is painting chairs which each use 10/6 cans of paint.

Lady bird [3.3K]

Answer:

Based off of the calculations I did, I got 32 as the answer.

Step-by-step explanation:

Jason uses 10/6 of the paint for each chair he paints and according to the question, there are 19 chairs.

So we multiply these two numbers to get the amount of paint used after painting all 19 chairs.

10/6 * 19 = 31.666...

Then we add the previous amount Jason used for painting the furniture to the total amount of paint used after painting the 19 chairs.

31.666... + 4/12 = 32.

Thus, Jason used 32 cans of paint in total.

5 0

2 years ago

Read 2 more answers

Evaluate: f(x) = x^2 + x a. f(-4) = b. f(-1) = c. f(7) =

Bezzdna [24]

Answer:

okay but i dont see the question

Step-by-step explanation:

6 0

2 years ago

Solve this equation 7x+3=5(x-3)+2x

zaharov [31]

Answer: nonsense

Step-by-step explanation:

7x+3=5(x-3)+2x

7x+3=5x-15+2x

7x+3-5x+15-2x=0

18=0

Non-sense

8 0

2 years ago