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3 years ago

Classify the area of a circle with a radius of 0.75 centimeter seems as either rational or irrational

Mathematics

1 answer:

Mazyrski [523]3 years ago

8 0

Irrational as 0.75 x 0.75 x 3.14......

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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

3 years ago

6−3(5x+2)−10x please explain the steps on how to simplify this polynomials.

kati45 [8]

Step-by-step explanation:

6-15x-6-10x

put the like terms together and it's now -15x-10x+6-6

-25+6-6

=-25

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1 year ago

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT c

nika2105 [10]

I believe it is C. a histogram
(if it’s not then sorry)

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3 years ago

Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.

pshichka [43]

Option 1- y= 53x+10
Option 2- y= 55x
55x+10=53x
-53x -53x
2x=10
x=5

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Go the Dee the pernotes fied 16 СА of

IRISSAK [1]

Answer: It is gvgtyhf

Step-by-step explanation:

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