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3 years ago

It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

Answer:

$k=\dfrac{5}{4}$

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

$k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}$

So, the constant of variation is $\dfrac{5}{4}$ .

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Elden [556K]

Answer:

The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i )

Step-by-step explanation:

Given equation as :

3 x² + 6 x +15 = 0

The value of x fro the quadratic equation a x² + b x + c = 0 is obtained as

x = $\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

So , from given eq , the value of x is now obtain as

x = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, x = $\frac{-6\pm \sqrt{6^{2}-4\times 3\times 15}}{2\times 3}$

Or, x = $\frac{\sqrt{-144} }{6}$

∴ x = ( - 1 + 2 i ) , ( - 1 - 2 i )

Hence The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i ) Answer

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3 years ago

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SOVA2 [1]

Cos(x) = sin(90 - x)
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3 years ago

The sine and cosine of one of the acute angles in a right triangle are equal. What is the tangent of the angle?

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Answer:

Step-by-step explanation:

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You can even reason that the acute angle is 45° and sin(x)=cos(x) = $\frac12\sqrt2$ .

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