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jolli1 [7]
2 years ago
6

What expressions are equivalent to 10x + 30x?

Mathematics
1 answer:
Yuri [45]2 years ago
7 0

Answer:

5(2x+6x) and 10(x+3x)

Step-by-step explanation:

because the three results 40x

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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1
IceJOKER [234]

Solution to equationcosxtanx - 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 equationcosxtanx - 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
3 years ago
PLEASE HELP you just have to help with a few
vagabundo [1.1K]
<h3><em>Answers:</em></h3><h2 /><h2>1/4 + 2/3 =11/12</h2><h2 /><h2>2/5-1/10= 3/10</h2><h2 /><h2>1/6+1/4=5/12</h2><h2 /><h2>5/8-1/4=3/8</h2><h2 /><h2>7/8-1/2=3/8</h2><h2 /><h2>3/10+4/5=11/10 or 1 1/10</h2><h2 /><h2>5/6-2/5=3/5</h2><h2 /><h2>5/12-1/4=1/6</h2><h2 /><h2>7/16+1/8=9/16</h2><h2 /><h2>11/16+5/8=21/16 or 1 5/16</h2><h2 /><h2>2/7+1/2=11/14</h2><h2 /><h2>4/5+3/4=31/20 or 1 11/20</h2>
3 0
2 years ago
4th grade math help &amp; explain please
ohaa [14]

Nothing on the rectangle is shaded, unless the camera quality is poor.

0/12

7 0
2 years ago
Please help soon! Thanks! Solve for x
spin [16.1K]

Answer:

x=27\degree

Step-by-step explanation:

\because AC || DE.... (given)

\therefore m\angle CAD= m\angle EDF\\ (corresponding \: \angle s)

\therefore m\angle BAD= m\angle EDF\\(\because B\in \overleftrightarrow{AC})

\therefore m\angle BAD= 2x\\(\because m\angle EDF=2x)

In\:\triangle BAD,

m\angle BAD+m\angle BDA+m\angle ABD= 180\degree

2x+2x+72\degree = 180\degree

4x= 180\degree -72\degree

4x= 108\degree

x= \frac {108\degree}{4}

x=27\degree

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2 years ago
Can you help me with this?
satela [25.4K]
I cant hardly see it ,what's the question?
8 0
3 years ago
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