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lord [1]
3 years ago
14

Tell whether the angles are complementary or supplementary. Then find the value of x.

Mathematics
1 answer:
oee [108]3 years ago
6 0

Answer:

Supplementary angles,

x = 50

Step-by-step explanation:

These angles are supplementary, meaning that they add up to form a 180-degree angle or a straight line.

Knowing this, now form and solve the equation,

76 + 2x + 4 = 180

Combine like terms,

76 + 2x + 4 = 180

80 + 2x = 180

Inverse operations,

80 + 2x = 180

-80           -80

2x = 100

/2    /2

x = 50

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3 years ago
Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants
lozanna [386]

Answer:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

Step-by-step explanation:

You have the following differential equation:

3y''+12y=0     (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i

The solution of the differential equation is:

y(x)=c_1e^{m_1x}+c_2e^{m_2x}   (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

4 0
3 years ago
Rewrite the following sentence as an equation.
SVEN [57.7K]

Answer:

3(2+x)=0

Step-by-step explanation:

<u>Here are some vocab words:</u>

Product: Multiplication

Sum: Addition

"A number": x

3(2+x)=0

6 0
3 years ago
Help please due today and it’s a benchmark
Leona [35]

Answer:

1

Step-by-step explanation:

Ok, so the third and fourth don't seem right. I am going to assume it's either 1 or 2. Sorry if you get it wrong because of me.

8 0
2 years ago
Write the equation in slope-intercept form: answers y=1/2x, y=3x+1/2, y=1/2x+3, y=2x+3
AleksandrR [38]

The equation in the slope-intercept form is:

y = (1/2)*x + 3

<h3>How to write the equation?</h3>

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)

Then the slope is:

a = \frac{4 - 3}{2 - 0} = 1/2

And we also can see that the y-intercept is y = 3, because of the point (0,3)

Then the line is:

y = (1/2)*x + 3

If you want to learn more about lines you can read:

brainly.com/question/1884491

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2 years ago
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