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chubhunter [2.5K]
3 years ago
15

( 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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