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3 years ago

Find the constant of variation k for the direct variation 4x = -y

Mathematics

2 answers:

MariettaO [177]3 years ago

6 0

Answer:

The constant of variation k is, -4

Step-by-step explanation:

The direct variation says that:

$y \propto x$ , then the equation is in the form of:

$y=kx$ ....[1] where, k is the constant of variation.

As per the statement:

Given the direct variation:

$4x = -y$

Divide both sides by -1 we have;

$-4x = y$

y = -4x

On comparing with [1] we have;

k = -4

Therefore, the constant of variation k is, -4

7nadin3 [17]3 years ago

3 0

Y=kx
solve for y

-y=4x
divide both sides by -1 aka times -1 both sides
y=-4x
y=kx

the constnat is -4

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Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
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Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

Hence ,

B ={1,4}

Now ,

A U B = { 0.5 , 1 , 4 , -2}
A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

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Passes through(4,7)Slope=2

Anna71 [15]

Answer:

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