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Anna [14]
3 years ago
8

Which equation shows y=−12x+4 is in standard form? 2x + y = 8 2x−y=8 x + 2y = 8 x+2y=−8

Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

<h2>x + 2y = 8</h2>

Step-by-step explanation:

The standard form of an equation of a line:

Ax+By=C

We have:

y=-\dfrac{1}{2}x+4

Convert:

y=-\dfrac{1}{2}x+4            <em>multiply both sides by 2</em>

2y=-x+8               <em>add x to both sides</em>

x+2y=8

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3 years ago
Show so that the expression of cos4A in term of SinA is 8Sin^4 - 8Sin^2A + 1​
Degger [83]

Answer:

Step-by-step explanation:

L

H

S

=

cos

4

x

=

2

cos

2

(

2

x

)

−

1

=

2

(

cos

(

2

x

)

)

2

−

1

=

2

(

2

cos

2

x

−

1

)

2

−

1

=

2

(

4

cos

4

x

−

4

cos

2

x

+

1

)

−

1

=

8

cos

4

x

−

8

cos

2

x

+

2

−

1

=

8

cos

4

x

−

8

cos

2

x

+

1

=

R

H

S

Again

L

H

S

=

cos

4

x

=

2

cos

2

(

2

x

)

−

1

=

2

(

1

−

2

sin

2

x

)

)

2

−

1

=

2

(

1

−

4

sin

2

x

+

4

sin

4

x

)

−

1

=

2

−

8

sin

2

x

+

8

sin

4

x

−

1

=

8

sin

4

x

−

8

sin

2

x

+

1

=

R

H

S

sin

2

x

+

cos

2

x

=

1

cos

2

x

=

1

−

sin

2

x

substitute in the equation as follows

8

cos

4

x

−

8

cos

2

x

+

1

=

8

cos

2

x

(

cos

2

x

−

1

)

+

1

=

8

(

1

−

sin

2

x

)

(

1

−

sin

2

x

−

1

)

+

1

=

8

(

1

−

sin

2

x

)

(

−

sin

2

x

)

+

1

=

8

sin

4

x

−

8

sin

2

x

+

1

5 0
3 years ago
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