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kodGreya [7K]
2 years ago
15

Cos x + square root 3 = -cos x

Mathematics
1 answer:
slava [35]2 years ago
5 0

Answer:

\cos x + \sqrt{3} = -\cos x\\2\cos x = -\sqrt{3}\\\cos x =-\frac{\sqrt{3}}{2}\\x=\frac{\pi}{6}

(the other solutions can be obtained by adding 2pi as many times as you want)

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All are equivalent except x<-2, x-2<4, 2x<-4, x-2<-4 ?
m_a_m_a [10]
To figure out which is not equivalent to the others,, we must solve each option provided. x < -2 is already solved,, so there is no need to do any work that option.
The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.
x < 4 + 2
Now add the numbers together to get your final answer.
x < 6
This means that we have one option that equals x < -2 and one option that equals x < 6.
Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.
x < -2
Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.
x < -4 + 2
Now calculate the sum of these two numbers to get your final answer.
x < -2
This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.
Let me know if you have any further questions.
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3 years ago
How can $500 be divided between four people so that each person gets $20 more than the person before.
MA_775_DIABLO [31]

Answer:

$95, $115, $135, $155

Step-by-step explanation:

If the first person gets x dollars:

the next person gets 20 more, so x + 20 dollars

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So the first person gets $95.

The second person must get $115

The third must get $135

And the fourth must get $155

Checking our work:

95 + 115 + 135 + 155 = 500

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Answer:

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Step-by-step explanation:

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