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2 years ago

What is the equation of a hyperbola with a = 1 and c = 9? Assume that the transverse axis is horizontal.

Mathematics

1 answer:

belka [17]2 years ago

8 0

Answer:

Step-by-step explanation:

The general formula for a horizontal hyperbola :

$\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1$

Given: a = 1 we know a² = 1 ,and that c = 9 so we know c² = 9² = 81

We also know that the relation between a, b, c for a hyperbola is c²= a²+b²

c²= a²+b², substitute what we know

81 = 1 +b², subtract 1 from both sides of the equation

80 = b²

The equation of our hyperbola is:

$\frac{x^{2} }{1 } -\frac{y^{2} }{80 } =1$ or $x^{2} -\frac{y^{2} }{80} =1$

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kati45 [8]

Answer: y ≥ (3/5)*x - 3

Step-by-step explanation:

In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)

First, let's find the equation for this line:

y = a*x + b

the value of a is the slope and is equal to:

a = (0 - (-3))/(5 -0) = 3/5

and the value of b is the point where the line intersects the y-axis, in this case, b = -3

then our line is

y = (3/5)*x - 3

As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.

y ≥ (3/5)*x - 3

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3 years ago

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Cels

Murrr4er [49]

Answer:

I (even though you said not to worry about dis question) will try and answerrrrrrrrrrrrr-

I would say- hmmm- B.) II only aka A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

6 0

3 years ago

Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s

kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

<u>From Simple Interest method</u>

Simple Interest = $\dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}$

or, At 6.5 % rate

$ 50 = $\dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}$

or, 10000 - x = $\frac{5000}{6.5}$

Or, 10000 - x = 769.23

∴ x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0

4 years ago

What is the single rational number for -14+(-8/9)

AlladinOne [14]

-14 + (8/9)

(-126 - 8)/9

= -134/9

3 0

3 years ago

50 is 40% of what number

Tpy6a [65]

125. To find the answer to these questions, divide the number (50) by the percent in decimal form (40% = 0.4) 50 / 0.4 = 125. To make sure, 125 x 0.4 = 50.

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3 years ago

Read 2 more answers