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lianna [129]
3 years ago
13

Please help :( Find X. Round to the nearest tenth.

Mathematics
1 answer:
g100num [7]3 years ago
6 0
90^2 = 55^2 + 50^2 - 2(55)(50)cosX
(90^2 - 55^2 - 50^2)/(2(55)(50)) = cosX
X = 62.1°
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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
Choose the lowest common denominator.
Brilliant_brown [7]

1) 8

2) -\frac{3}{4}=-\frac{6}{8}, so it is equal to -\frac{6}{8}+\frac{5}{8}

3) 1/8

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2 years ago
A recipe calls for 3/4 cup of sugar for every 3 cups of flour.How many flour should be used for every 1 cup of sugar ?​
vivado [14]
You need 1/4 of sugar per cup of flour. So you need 4 cups of flour for every one cup of sugar
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Which is the graph of<br><img src="https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%20%2B%201%7D%20-%202" id="TexFormula1" t
Anna11 [10]

ANSWER

See attachment.

EXPLANATION

The given function is

y =  \sqrt[3]{x + 1}  - 2

The parent function is

y =  \sqrt[3]{x}

When we shift the parent graph to the left one unit, and down 2 units, we obtain the graph of the given function.

The graph of this function is shown in the attachment.

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The toatal charge on 6 is 48 units . what is the charge on each house
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The charge on each house is 8 units
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