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2 years ago

What does 150 / (-2) equal?

Mathematics

2 answers:

Nookie1986 [14]2 years ago

6 0

Answer:

-75

Step-by-step explanation:

I just checked on a calculator

Stella [2.4K]2 years ago

3 0

150 / -2 = -75

hope it helps!

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The graph of which function(s) will contain the point (3, 6)?

alekssr [168]

The first and third one

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3 years ago

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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

Goran is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride?

astra-53 [7]

Answer: He rides for 2.5 hours or 2 and a half hours.

Step-by-step explanation:

He needs to complete a trajectory of 22.5 kilometers.

He rides 9 kilometers per hour.

Divide the total by the amount of kilometers that he rides.

$\frac{22.5}{9}=2.5h$

6 0

3 years ago

In the morning a tank cntained 10 litres of water.At lunch time it contained 7 litres of water.What percentage of water was used

iren [92.7K]

Answer:

30%

Step-by-step explanation:

10-7=3

3/10×100

=30%

7 0

3 years ago