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2 years ago

Pls help with these questions!!!

Mathematics

1 answer:

DedPeter [7]2 years ago

6 0

Answer:

$9 \times 9 - 3 = 81 - 3 = 78$

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Maria stated that 5/6 is between 4/5 and 6/7

Vlada [557]

Answer:

It's true, if that's what your asking.

Step-by-step explanation:

5/6 = 0.833 to 3 sig.fig.

4/5 = 0.800 to 3 sig.fig.

6/7 = 0.857 to 3 sig.fig.

0.833 is more than 0.800 and less than 0.857.

3 0

2 years ago

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

Determine the growth defined by the equation y = 6(.79)^x. Is this exponential growth or exponential decay?

Scorpion4ik [409]

Answer:

exponential decay

Step-by-step explanation:

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3 years ago

A new truck costs $32,000 if the truck is worth 24,500 after three years write an explicit formula for the value of the car afte

Debora [2.8K]

Answer:

Step-by-step explanation:

depreciation for three years = 32000 - 24500 = $ 7500

depreciation per year = 7500/3 = $ 2500

depreciation % = (2500/32000)*100 = 7.81%

Value of truck after n years = 32000 * (7.81%)*n

8 0

3 years ago

HELP WILL MARK U BRAINLIEST

Tems11 [23]

Answer:

About 57238.562767982 meters

Step-by-step explanation:

7 0

2 years ago