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Mars2501 [29]
3 years ago
6

Solve the following equation: (0,1) ✓2 Cos x + 1 = 0

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

The given equation is \sqrt{2} \cos x+1=0

We need to determine the solution of the equation.

<u>Solution:</u>

The solution of the equation can be determined by solving the equation for x.

Let us subtract both sides of the equation by 1.

Thus, we get;

\sqrt{2} \cos x=-1

Dividing both sides by \sqrt{2}, we get;

\cos x=-\frac{1}{\sqrt{2}}

Rationalizing the equation, we have;

\cos x=-\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}  }

Simplifying, we get,

\cos x=-\frac{\sqrt{2}}{2}

The general solutions for \cos x=-\frac{\sqrt{2}}{2} is x=\frac{3 \pi}{4}+2 \pi n \ and \  x=\frac{5 \pi}{4}+2 \pi n

Therefore, the solutions of the equation are x=\frac{3 \pi}{4}+2 \pi n and x=\frac{5 \pi}{4}+2 \pi n

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4(x+5) = 4x +5x it's probably easy but i'm dumb
Irina18 [472]
<span>4(x+5) = 4x +5x

Simplify by distributing and combining like terms
</span>(4)(x)+(4)(5)=4x+5x
4x+20=4x+5x
4x+20=(4x+5x)
4x+20=9x

Subtract 9x from each side
4x+20−9x=9x−9x
5x+20=0
<span />
Subtract 20 from each side
−5x+20−20=0−20
−5x=−20

Divide each side by -5
-5x ÷ -5 = -20 ÷ -5
x = 4

P.S this was actually harder than most algebra problems, so don't beat yourself about it :D<span /><span /><span /><span /><span />
6 0
4 years ago
Nick buys 2 shirts and 4 hats for a total of $44.00. Hours f the hats cost $5.00 each,how much does each shirts costs
skad [1K]

Answer:

Each shirt costs 12$

Step-by-step explanation:

Simple steps :)

1. Times 4 by 5 which equals 20

2. Next subtract 20 by 44 which is 24

3. Now take 24 and divide by 2 (Since there are 2 shirts) this is you answer

One shirt costs 12$

Hope this helped have a GOOD day :)

8 0
3 years ago
Margaret is reading a book. The number of pages she has left to read is 276−35d276−35d , where d represents the number of days s
mamaluj [8]
276 - 35d

276 = total pages
35 = pages read per day
35D = number of pages she has read during D days
8 0
4 years ago
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Which of the following appear in the diagram below
Nataly_w [17]
Uh... What diagram? I cant understand what you are tryimng to ask if i dont even know where the diagram is. Just saying.

8 0
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Mei has 8 jars of soup. Each jar obtains 300 milliliters of sup. What is the smallest pot Mei can use to heat all the soup?
Kipish [7]

Answer:

2400 milliliters of soup

Step-by-step explanation:

8*300=2400

5 0
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