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2 years ago

Rewrite each fraction with a denominator of 10 7/2=? 3/5=?

Mathematics

1 answer:

motikmotik2 years ago

5 0

The answer is 35/10 and 6/10

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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

400 lbs = ? Tons and 38,600 mg = ? dekagrams

garik1379 [7]

400 lbs = 0.2 tons

38,600 mg = 3.86 dekagrams

Hope it helps!

3 0

2 years ago

Wp x 6 = 2 Nees help on this

sdas [7]

Answer:

x = 1/3

Step-by-step explanation:

x * 6 = 2

x = 2/6

x = 1/3

plz follow me

8 0

2 years ago

Your waiter at a restaurant suggests you leave a tip of $10 on a $50 bill. What percentage is that?

Bezzdna [24]

Answer:

20%

Step-by-step explanation:

To find what percentage is $10 out of $50, we divide 10 by 50:

$\frac{10}{50}=0.2$

If we want to get the result in percentage form, we simply multiply it by 100%:

$0.2\cdot 100\%=20\%$

So a tip of $10 on a $50 bill is a tip of 20%.

6 0

2 years ago

To solve -6x + 4 = -20, what steps would you perform?

taurus [48]

A and then A again, this is because you gotta leave the exponent by its self so you subtract 4 then the -4 gets to the other side and it leaves it with -6x = -24 then you just divide to get your answer.

8 0

3 years ago

Read 2 more answers

Rewrite each fraction with a denominator of 10 7/2=? 3/5=?​

Rewrite each fraction with a denominator of 10 7/2=? 3/5=?