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Oksanka [162]
3 years ago
14

Sin³xcosx+sinxcos³x=sinxcosx

Mathematics
1 answer:
Svetllana [295]3 years ago
6 0

Answer:

Step-by-step explanation:

sin^3xcosx+sinxcos^3x\\=sinx cosx(sin^2x+cos^2x)\\=sinx ~cosx(1)\\=sin~x~cos~x

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(3,5) and (0,7) in slope intercept form​
Drupady [299]

Answer:

First, we need to determine the slope of the line going through the two points. The slope can be found by using the formula:  

m

=

y

2

−

y

1

x

2

−

x

1

Where  

m

is the slope and (

x

1

,

y

1

) and (

x

2

,

y

2

) are the two points on the line.

Substituting the values from the points in the problem gives:

m

=

5

−

7

3

−

0

=

−

2

3

Now, we can use the point-slope formula to find an equation going through the two points. The point-slope formula states:  

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where  

m

is the slope and  

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope we calculated and the values from the first point gives:

(

y

−

7

)

=

−

2

3

(

x

−

0

)

We can also substitute the slope we calculated and the values from the second point giving:

(

y

−

5

)

=

−

2

3

(

x

−

3

)

We can also solve the first equation for  

y

to transform the equation to slope-intercept form. The slope-intercept form of a linear equation is:  

y

=

m

x

+

b

Where  

m

is the slope and  

b

is the y-intercept value.

y

−

7

=

−

2

3

x

y

−

7

+

7

=

−

2

3

x

+

7

y

−

0

=

−

2

3

x

+

7

y

=

−

2

3

x

+

7

6 0
3 years ago
Zeljko's father bought a new TV for $660. He is paying it off monthly for one year. How much does he pay each month?
liberstina [14]

Zeljko's father pays $55 each month.

The cost of the TV bought by Zeljko's father = $660

The payment for the TV is divided monthly for a year.

But one year = 12 months.

Therefore, the amount of money he will pay per month would be the total amount divided by 12, that is,

= 660/12

= $55

Therefore, Zeljko's father pays $55 each month.

Learn more here:

brainly.com/question/25453114

7 0
3 years ago
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