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3 years ago

X+2•x+30=180 what is x

Mathematics

2 answers:

aleksklad [387]3 years ago

7 0

Answer:

x = 50

Step-by-step explanation:

x+2•x+30=180

Combine like terms

3x+30 = 180

Subtract 30 from each side

3x+30-30 = 180-30

3x = 150

Divide each side by 3

3x/3 = 150/3

x = 50

zloy xaker [14]3 years ago

5 0

Answer:

x = 50

Step-by-step explanation:

to evaluate the question given to be x+2•x+30=180 we first of all combine the likely variables and evaluate.

solution

x+2•x+30=180

x + 2x + 30 = 180

x + 2x = 180 -30

3x = 150

divide both sides by the coefficient of x which is 3

3x /3 = 150/3

x = 50.

to check if your answer is correct put the value of x into the queston and evaluate carefully and you will observe that the left habdside is equal to the right handside.

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Damm [24]

Answer:

$x = \frac{1}{2}$

$x = -\frac{5}{2}$

Step-by-step explanation:

Solve Using the Quadratic Formula

4x^2 + 8x − 5 = 0

Use the quadratic formula to find the solutions.

−b ± √b^2 − 4 (ac)

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Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.

−8 ± √82 − 4 ⋅ (4 ⋅ −5)

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2 ⋅ 4

Simplify the numerator.

Raise 8 to the p ower of 2.

−8 ± √64 − 4 ⋅ 4 ⋅ −5

x= ---------------------------

2 ⋅ 4

Multiply −4 by 4.

−8 ± √64 − 16 ⋅ −5

x = -------------------------

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Multiply −16 by −5.

−8 ± √64 + 80

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Add 64 and 80.

−8 ± √144

x = --------------

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Rewrite 144 as 12^2.

−8 ± √122

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Pull terms out from under the radical, assuming positive real numbers.

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The final answer is the combination of both solutions.

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Hope this helped!

6 0

3 years ago

Read 2 more answers

Please Help!! Use Euler’s formula to write in exponential form.

LekaFEV [45]

Answer:

C, $4e^{i(7\pi/4)}$

Step-by-step explanation:

To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:

$e^{ix}=\cos{x}+i\sin{x}$

Given the complex number $2\sqrt{2}-2i\sqrt{2}$ , we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.

One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression $2(\sqrt{2}-i\sqrt{2})$

Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression $4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right)$ , and now we have something to work with.

Looking back at Euler's formula $e^{ix}=\cos{x}+i\sin{x}$ , we can map our expression inside the parentheses to the one on the right side of the formula, giving us $\cos{x}=\frac{\sqrt2}{2}$ and $\sin{x}=-\frac{\sqrt2}{2}$ , or equivalently:

$\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x$

At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so $x=\frac{7\pi}{4}$ , and we can finally replace our expression in parentheses with its exponential equivalent: