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andrew11 [14]
3 years ago
15

For the equation --4y = 8x, what is the constant of variation?

Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

Answer: 1) B is correct, constant of variation is -2.

Step-by-step explanation:

1)

Direct variation states that a relationship between the two variables. we say y varies directly as x

i.e,  or y =kx.................[1] ;  where k is the constant of variation.

Given the equation:

Divide both sides by -4 we get;

Simplify:

            .......[2]

On comparing equation [2] with [1] we get;

k = -2

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Verify cot x sec^4x=cotx +2tanx +tan^3x
Tanzania [10]

Answer:

See explanation

Step-by-step explanation:

We want to verify that:

\cot(x)  \:  { \sec}^{4} x =  \cot(x) + 2 \tan(x)   +  { \tan}^{3} x

Verifying from left, we have

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \: ( 1 +  { \tan}^{2} x )^{2}

Expand the perfect square in the right:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \: ( 1 +  { 2\tan}^{2} x  + { \tan}^{4} x)

We expand to get:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \:   +  \cot(x){ 2\tan}^{2} x  +\cot(x) { \tan}^{4} x

We simplify to get:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \:   +  2 \frac{ \cos(x) }{\sin(x) ) }  \times  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}   +\frac{ \cos(x) }{\sin(x) ) }  \times  \frac{{ \sin}^{4} x}{{ \cos}^{4} x}

Cancel common factors:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \:   +  2 \frac{{ \sin}x}{{ \cos}x}   +\frac{{ \sin}^{3} x}{{ \cos}^{3} x}

This finally gives:

\cot(x)  \:  { \sec}^{4} x =  \cot(x) + 2 \tan(x)   +  { \tan}^{3} x

3 0
3 years ago
The length of each side of a square was increased by 6 inches, so the
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Each side was 28 inches
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A rectangle on a coordinate plane has vertices (-1.1), R(6, 1). S(6.-8), and T(-1,-8). What are the dimensions of the
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b. the base is 9 and the height is 6

Step-by-step explanation:

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3 years ago
7x+3+6x+11 i need help solving this problem
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Step-by-step solution:

7x + 3 + 6x + 11 = 0

7x + 6x + 11 + 3 = 0

13x + 11 + 3 = 0

13x + 14 = 0

13x = 0 - 14

13x = -14

x = -14 / 13

x = -1.077 approx.




Hope it helped,



BioTeacher101
8 0
3 years ago
Please help!!me don’t understand
mafiozo [28]

Answer:

x=45

Step-by-step explanation:

the sum of straight angle=180

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3x=180-45

3x=135

x=135/3=45

7 0
3 years ago
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