Transversal relations

Answer:

Foci [tex](0,\pm\frac{\sqrt{17}}{4})[/tex]

Vertices:[tex](0,\pm 1)[/tex]

Eccentricity, e=[tex]\frac{\sqrt{17}}{4}[/tex]

Length of latus rectum=[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

We are given that

[tex]y^2-16x^2=1[/tex]

[tex]y^2-\frac{x^2}{(\frac{1}{4})^2}=1[/tex]

The equation of hyperbola is along y-axis because y is positive

Compare the equation with

[tex]y^2/a^2-x^2/b^2=1[/tex] (Along y-axis)

We get

a=1, b=1/4

[tex]a^2+b^2=c^2[/tex]

[tex]1+\frac{1}{16}=c^2[/tex]

[tex]\frac{16+1}{16}=c^2[/tex]

[tex]c^2=\frac{17}{16}[/tex]

[tex]c=\pm \frac{\sqrt{17}}{4}[/tex]

Therefore,

The coordinates of foci=[tex](0,\pm c)=(0,\pm\frac{\sqrt{17}}{4})[/tex]

The coordinated of vertices=[tex](0,\pm a)=(0,\pm 1)[/tex]

Eccentricity, e=c/a

[tex]e=\frac{\frac{\sqrt{17}}{4}}{1}=\frac{\sqrt{17}}{4}[/tex]

Length of latus rectum=[tex]\frac{2b^2}{a}[/tex]

Length of latus rectum=[tex]2\times \frac{1}{16}=\frac{1}{8}[/tex]

Answer:

350 kilómetros por hora son 97,2222 metros por segundo ;)

The result of converting 350 km/h to meter per second is 97.22 m/s.

To convert from kilometers per hour (km/h) to meters per second (m/s), you need to apply the conversion factor.

The conversion factor for this conversion is 1 km/h = 0.2778 m/s.

To convert 350 km/h to m/s, multiply 350 by the conversion factor:

350 km/h×0.2778 m/s

= 97.22 m/s

Therefore, the result of converting 350 km/h to m/s is approximately 97.22 m/s.

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Answer:

2x-3y=15

Step-by-step explanation:

y=2/3x-5

2/3x-y=5

3(2/3x-y)=3(5)

2x-3y=15

The required equation of the line is represented by 2x-  3y = 15 in standard form.

A linear equation is written in the standard form as Ax + By = C, where A, B, and C are integers and x and y are variables.

For example, 8x + 2y = 7 is the standard form of a linear equation in two variables.

The equation is given in the question

⇒ y = 2/3x - 5

We have to determine the standard form of the given linear equation

⇒ y = 2/3x - 5

⇒2/3x - y = 5

Multiply by 3 into both sides of the above equation,

⇒3(2/3x-y) = 3(5)

⇒2x - 3y = 15

Therefore, the required equation of the line is represented by 2x-  3y = 15 in standard form.

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Answer:

12 Cups if Cheese

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

400/2 = 200

Answer:

3780 bolts will be made by 8pm

Step-by-step explanation:

One Hour : 500 nuts or 840 bolts

Divide by 2

30 minutes : 250 nuts or 420 bolts

750 nuts : 500 + 250 = 750

so the machine took 1 hour and 30minutes

14:00 it started (2pm)

15:30 it switched to bolts

20:00 (8pm)

4 hours and 30minutes to get to 8pm

840 × 4 = 3360 bolts + 420 bolts = 3780 bolts was made

Answer:

2

Step-by-step explanation:

If the ratio is 2:3 that means there are 2 boys and 3 girls because the sentence starts with BOYS to GIRLS meaning the number of girls come second

Answer:

The speaker is a child who cannot understand the concept of a shadow or what it is, that it isn't another person, and instead looks at his shadow in a new way, showing the reader how to think past the mere science of it. rhuman being.

Step-by-step explanation:

Answer:

the answer is D {-5, -13}

Answer:

80.6%

Step-by-step explanation:

29/36 = about 0.8055556 = 80.55556% = about 80.6%

Answer:

length of arc=60/360×2π×12=1/6×2×12π=4π=4×22/7=12.57cm

Answer:

12 X=2.2

13. y = 6.4

14. m= 8.5

15. z=9.9

16. n= 18.4

17. X= 5.8

Answer:

no

Step-by-step explanation:

I don't know maybe I really don't know im not smart at all

As input 20 relates to two different outputs 40 and 50 the relation is not a function.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

We know a relation is a function if it is one to one implies every input relates to different output or many one as different inputs lead to the same output.

The given information is represented by a diagram has one-to-many relations as the input 20 leads to the same output 50 so this is a one-to-many relation and not a function.

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Answer:

b. No, because Debbie had gross income of more than $4,200 during the tax year.

Step-by-step explanation:

Qualifying relative refers to the person those who meet the five of the requirements of the Internal revenue Service or the IRS. They are :

-- The person is not a qualifying child.

-- Individual must be a citizen of U.S., Canada or Mexico or alien resident of the USA.

-- The person should be a relative of the tax payer for a complete and has a relationship with the tax payer which is either by blood or by donation.

-- The tax payer should be supporting a higher than half of the expenses of the person.

-- Individual must have less than a gross income of 4,200 dollar in the year 2019.

Since, gross income is 18,250 dollar of Debbie and therefore she is not a qualifying relative.

Answer:

A

Step-by-step explanation:

Subtract 1 on both sides of the inequality

we get x>4.

So graph A is correct.

Answer:

[tex]v = 400000(2^\wedge d)[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Value = \$400000[/tex]

[tex]Rate = doubles[/tex] per decade

Required

Determine the equation of the function

The information given shows that the function is exponential and will be calculated using:

[tex]v = ab^d[/tex]

Where:

a = Initial Value = 400000

b = rate = 2

d = number of decades

v = the current value of the home

So, we have:

[tex]v = 400000* 2^\wedge d[/tex]

[tex]v = 400000(2^\wedge d)[/tex]

The equation that represents the value of the home is v = $400,00(2^d).

The home is appreciating in value. This means that the price of the house is increasing with the passage of time.

The formula that can be used to represent the appreciation is:

FV = P (1 + r)^n

v = $400,000(2^d)

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Answer:

 x<15

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x+5<50

Step 2: Subtract 5 from both sides.

3x+5−5<50−5

3x<45

Step 3: Divide both sides by 3.

3x /3  <  45 /3

Answer:

$300 because $36,450 X 0.10 is equals to $3,645 divided by 12months is equals to $303.75

round off by the nearest hundred is $300.

Answer:

false

Step-by-step explanation:

when you move COUNTERclockwise, you go in the opposite direction that a clock goes, so you would go to the left instead of the right

Answer:

24 ft

Step-by-step explanation:

The amount of money that was deposited by Aviva into her bank account is $4,000.

Given the following data:

Conversion:

12 months = 1 year.

18 months = 1.5 year.

To determine the amount of money that was deposited by Aviva into her bank account:

Mathematically, simple interest is given by this formula:

[tex]I=PRT[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]240=P \times 0.04 \times 1.5\\\\240=0.06P\\\\P=\frac{240}{0.06}[/tex]

P = $4,000.

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Sasha needs to collect 120 more cans to reach her goal.

let us say the total goal is 100x

it is given that

when she collected 180 cans she knew she had reached 60% of her goal.

it is made up of two words 'per' and 'cent' means it is the value out of a hundred.

60% of 100x= 60x

60x = 180(given)

x=3

total goal = 100x= 100*3=300

total goal left= 300-180=120

therefore, Sasha needs to collect 120 more cans to reach her goal.

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Answer:

A.

Step-by-step explanation:

Look up "45 45 90 triangle" for diagrams to better explain.

Step-by-step explanation:

Points ( -3,5 )( 6,-4 )

You use the slope formula to find the slope.

M = Y2 - Y1 over

      X2 - X1

Which is -4 - 5

               6 - -3 =         -9/9 = -1

The slope is -1

Now to find the y-intercept we use one of the x,y points ( I'll use 6,-4 )

And plug them in

-4 = -1(6) + b

-4 = -6 + b

+6   +6

2 = b

The equation will be y = -1x + 2

Answer:

I got 11.814405

Step-by-step explanation:

12.99 times .85 then multiply by 1.07