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2 years ago

The highest or lowest point on a parabola is called

Mathematics

1 answer:

pickupchik [31]2 years ago

7 0

Answer:

Vertex

Step-by-step explanation:

Brainliest?

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Evaluate n2-m; use m=7, and n=8

Fynjy0 [20]

Answer:

Step-by-step explanation:

6 0

2 years ago

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

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2 years ago

Each diagram is made of smaller, identical pieces. Tell how many pieces you would shade to model 25%

eduard

Answer:

12 pieces

Step-by-step explanation:

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2 years ago

What is the slope of the line? -2/5 2/5 5/2 1/3

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

(0, 3) (5, 1)

(1-3)/(5-0) = -2/5 is the slope

6 0

3 years ago

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The graph of y = |x-6| is in the standard (x,y)

Airida [17]

9514 1404 393

Answer:

F. Translation to the right 6 coordinate units

Step-by-step explanation:

Replacing the function argument x with x-6 causes the graph to be translated right 6 units.

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2 years ago