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3 years ago

( please help this is the last question and i have 4 min left, thank you for the help!)

Mathematics

1 answer:

Naddik [55]3 years ago

4 0

Answer:

Step-by-step explanation:

-4x∧2 -1

-4x squared minus one

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Find the value of X, show work

nadya68 [22]

Answer: 0

Step-by-step explanation: you just have to divide a little bit then you just multiply.

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3 years ago

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Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

4 years ago

nikhil has RS 80000 from this,he gives 30% to his wife and 20% to his father. Find the amount received by wife and father

muminat

Answer:

Amount received by wife = RS 24000

Amount received by father = RS 16000

Step-by-step explanation:

His income is RS 80000

He gave 30% of his income to his wife

That's

$\frac{30}{100} \times RS \: \: 80000$

Which is RS 24000

He gave 20% of his income to his father

That's

$\frac{20}{100} \times RS \: \: 80000$

Which is RS 16000

Hope this helps you

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3 years ago

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uysha [10]

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3 years ago

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Charra [1.4K]

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3 years ago