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2 years ago

Plz help me help me help me

Mathematics

2 answers:

yulyashka [42]2 years ago

8 0

Answer:

Step-by-step explanation: 16 is for the apple juice for when the orange juice is 8 since orange juice is half of the apple juice. For the last one the apple juice is 32 and the orange juice is 16

exis [7]2 years ago

7 0

The answer is this :) hope I helped

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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

Expand 2(7x - 1) please

vlada-n [284]

Answer:

14x - 2

Step-by-step explanation:

2(7x - 1)

Distribute the 2

2*7x - 2*1

14x - 2

6 0

3 years ago

Read 2 more answers

2/9 divided by 4 what is the answer

Brrunno [24]

2/9 ÷ 4/1 (keep,change,flip) is 1/18.

3 0

3 years ago

Please help me with this

Allisa [31]

Answer:

neither

Step-by-step explanation:

find the slopes of FG and HJ using the slope formula (y_2-y_1)/(x_2-x_1)

FG: (-1+3)/(-2-1)=2/-3=-2/3

HJ: (3-0)/(6-5)=3/1=3

perpendicular lines have slopes that are the negative reciprocal of each other. -2/3's negative reciprocal is 3/2 which isn't 3. the lines aren't parallel or perpendicular

6 0

2 years ago

Please help! I don't know what the reasons would be for statements 3 and 4

bezimeni [28]

3 = AIA ( Alternate Interior Angles)
4 = Definition of AIA

6 0

2 years ago