What is the equation of a hyperbola with a = 5 and c = 15? Assume that the transverse axis is horizontal.

Answers

Answer 1

Answer:

[tex]\frac{x^2}{25} -\frac{y^2}{200} =1[/tex]

Step-by-step explanation:

Recall that the equation of  hyperbola centered at the origin with transverse horizontal axis has the general form:

[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} =1\\and\,\,\,\, with\\c=\sqrt{a^2+b^2}[/tex]

since we know that a = 5 ,and c = 15,we can solve for b:

[tex]15=\sqrt{5^2+b^2} \\15^2=25+b^2\\b^2=200\\[/tex]

then the equation of the hyperbola becomes:

[tex]\frac{x^2}{5^2} -\frac{y^2}{200} =1\\\frac{x^2}{25} -\frac{y^2}{200} =1[/tex]


Related Questions

EASY QUESTION
Digit is working on the probabilities of spinning each food item in his game.

The spinner is divided into 12 equally sized sections, and each section contains a food item from the menu, as shown here.

Cured pasta & bear is labeled on 1 section.
Baked cucumber & lime mutton is labeled on 2 sections.
Poached fennel & lemon alligator is labeled on 1 section.
Pressure-cooked mushroom & garlic chicken is labeled on 2 sections.
Praline wafer is labeled on 1 section.
Gooseberry & passion fruit cheesecake is labeled on 2 sections.
Oven-baked apple & lavender calzone is labeled on 3 sections.
Based on the rules Digit created, which option has the greatest probability?

P({x:x is praline wafer})
P({x:x is oven-baked apple & lavender calzone})
P({x:x is cured pasta & bear})
P({x:x is cucumber & lime mutton})
P({x:x is poached fennel & lemon alligator})
P({x:x is pressure-cooked mushroom & garlic chicken})
P({x:x is gooseberry & passion fruit cheesecake})

Answers

Answer:

im pretty sure it's P({x:x is oven-baked apple & lavender calzone })

Step-by-step explanation:

its the one with the biggest section

x + 5 is a factor of f(x) = x ^ 3 - 2x ^ 2 - 23x + 60 to factor f(x) completely.

Answers

Answer:

danlowde photomath and u'll know

Hurry help I need help with this question

Answers

Answer:

The answer is B

Step-by-step explanation:

Somebody amazing answered my other but |4| |–6| is confusing i might send alot of them because i dont understand fully

Answers

Answer:

tell me the problem

IS THIS SSS SAS or AA​

Answers

Step-by-step explanation:

This is SAS.

Hope it helps you.

answer : SAS = side-angle-side

This is annoying to work out

Answers

Answer:

A is 3, -5

B is -4, -1

Step-by-step explanation:

Hope it helps!!

4) Solve the following triangle:
A= 113• b=8 in c= 7in

Answers

Answer: i cannot answer this question correctly without picture or diagram of the triangle but here is something that can help

Step-by-step explanation:

How long will it take for the concentration to reach 0.0500 M?

Answers

This question is incomplete, the complete question is;

A general reaction written as A + 2B → C + 2D is studied and yields the following rate law: ∆A/∆t = k A².

The initial concentration is 1.000 M and t½=20.00 s.

How long will it take for the concentration to reach 0.0500 M

Answer:

it will take 380 seconds for the concentration to reach 0.0500 M

Step-by-step explanation:

Given that;

A + 2B → C + 2D

initial concentration A₀ = 1 M

half life t1/2 = 20sec

concentration after t time [A_t] = 0.0500 M

∆A/∆t = k A²

This is a second order chemical kinetics

for this order; t1/2 = 1 / [A]₀K

A₀ is initial concentration, K is rate constant, t1/2 is half life

so,

k = 1 / [A₀]t1/2

we substitute

K = 1 / 1.000 × 20

K = 0.05 mol⁻¹L/sec

for second reaction order

1/[A_t] = kt + 1/[A₀]

kt = 1/[A_t] - 1/[A₀]

we substitute

kt = 1/0.0500 - 1/1.000

kt = 20 - 1

kt = 19

substitute the value of k

0.05 × t = 19

t = 19 / 0.05

t = 380 sec

Therefore it will take 380 seconds for the concentration to reach 0.0500 M

Daria walked 1 2/5 miles this morning and 2 3/10 miles this afternoon how many miles did Daria walked in all

Answers

Answer:

The answer is 3 7/10!!!!!!!!!!!

Step-by-step explanation:

I hope this help! :)

Answer:

3 7/10!

Step-by-step explanation:

1 2/5 + 2 3/101 4/10 + 2 3/101 + 2= 34/10 + 3/10= 7/10(3 + 7/10= 3 7/10) or (1 4/10 + 2 3/10= 3 7/10)

I HOPE THIS HELPED!

A washer and dryer cost $1011 combined the washer cost $61 more than the dryer what is the cost of the dryer

Answers

Answer:

$475

Step-by-step explanation:

First, we need to subtract 61 from 1011 which given us 950. Then, we divide 950 by 2 to give us the cost of the dryer :)

950 ÷ 2 = 475

This means the cost of the washer is $536 (not relevant to the answer, but at least now you know :) )

Dryer is $475washer is $536

What is the value of x? The answer can be a decimal!
(5x - 25) °

(3x + 9°

Answers

5x - 25 + 3x + 9 = 180
8x - 16 = 180
8x = 196
x = 24.5

Answer:

24.5

Step-by-step explanation:

5x-25+3x+9=180

8x-16=180

8x=196

196/8=24.5

what is 0.125 in a percent

Answers

12.5% hope this helped mark as brainliest pls?
12.5 percent because there behind the decimal

Find the perimeter of the figure to the nearest hundredth, if a =9 and b=2.

Answers

Answer:

e. 23.14 m

Step-by-step explanation:

Perimeter of the figure = ½(perimeter of a circle) + 2(a) + b

= ½(πd) + 2(a) + b

Where,

d = 2 m

a = 9 m

b = 2 m

Plug in the values into the equation

Perimeter of the figure = ½(π*2) + 2(9) + 2

= π + 20

= 23.14 m (nearest hundredth)

Need help anybody know this question

Answers

Answer:

12 is the answer

Step-by-step explanation:

can you give me Brainliest PLZ

Answer:

12 is the answer i belive if not im sorry (:(

Which of the following are partial products for 43 x 17

Answers

Answer:

731

Step-by-step explanation:

Fourty-Seven times Fifty-One

Answers

Answer:

answer is 2397

Step-by-step explanation:

WILL GIVE BRAINLIEST TO WHOEVER IS RIGHT
The number of pages that Albert, Keith, Rita, and Bess can read in a day is shown below:


Albert read 15% of his 56-page book.

Keith read 12% of his 64-page book.

Rita read 16% of her 42-page book.

Bess read 10% of her 72-page book.


Who can read the greatest number of pages in a day?


Albert

Keith

Rita

Bess

Answers

Answer:

Albert read the most

Step-by-step explanation:

Answer:

take each of your pages times the number of present, it will give you a answer of pages they read each day, but your answer would be albert he read 8.4 pages a day keith 7.68, Rita 6.72, and bess 7.2.

Step-by-step explanation:

Find the center and radius of the circle

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] {x}^{2} - 6x + {y}^{2} - y = 2[/tex]

Add sides 9 + 1 / 4

[tex] {x}^{2} - 6x + {y}^{2} - y + 9 + \frac{1}{4} = 2 + 9 + \frac{1}{4} \\ [/tex]

[tex] ({x}^{2} - 6x + 9) + ( {y}^{2} - y + \frac{1}{4} ) = 11 + \frac{1}{4} \\ [/tex]

[tex] ({x - 3})^{2} + ({y - \frac{1}{2} })^{2} = \frac{44}{4} + \frac{1}{4} \\ [/tex]

[tex] ({x - 3})^{2} + ( {y - \frac{1}{2} })^{2} = \frac{45}{4} \\ [/tex]

______________________________________

Remainder :

[tex] ({x - a})^{2} + ({y - b})^{2} = {R}^{2} [/tex]

[tex]center = ( \: a \: , \: b \: )[/tex]

[tex]radiuc = R[/tex]

______________________________________

Compare :

[tex] ({x - a})^{2} + ( {y - b})^{2} = {R}^{2} [/tex]

[tex]( {x - 3})^{2} + ({y - \frac{1}{2} })^{2} = ({ \frac{ \sqrt{45} }{2} })^{2} \\ [/tex]

Thus ;

[tex]center = ( \: 3 \: , \: \frac{1}{2} \: ) \\ [/tex]

[tex]radius = \frac{ \sqrt{45} }{2} = \frac{ \sqrt{9 \times 5} }{2} = \frac{3 \sqrt{5} }{2} \\ [/tex]

Done...

❤❤❤❤❤❤❤❤❤❤❤❤❤

which number has a greater magnitude 2 or -3

Answers

Answer:

2

Step-by-step explanation:

I think but I may be wrong

If you were to select 1 shape at random from the array, what shape do you have the greatest probability of selecting

Answers

A circle because it’s different

What is the greatest acceptable length for a package that has a square base measuring 12 in. by 12 in.

Answers

Ahh I’m not smart so imma just guess not saying it’s right . 24 in?

John bought 15 cookies and ate 3 of them. He ate % of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)

Answers

He ate 20% of the cookies

Answer:

20%

Step-by-step explanation:

Divide 3 by 15 to get 1/5. If you divide 1 by 5, you will get a decimal answer of 0.2. To convert a decimal to a percent, you must multiply the decimal by 100, which basically means to move the decimal place to the right twice. You will then get the product and final answer of 20%.

List all the subset of set
[ red, green, blue​

Answers

Answer:

red, green, blue, red green, blue green, red blue

Step-by-step explanation:

i hope this is the answer to your question, please give me brainliest, please

We are given the Set: {Red, Green, Blue}

Number of Subsets of the Set:

Number of Subsets of a set is also known as the power of that set

The power of a set is denoted as: 2ⁿ (where n is the number of elements of the set)

Power of the given set:   2³ = 8 subsets

All the subsets of the Given set (The Power Set):

{ ∅, {Red}, {Green}, {Blue} , {Red, Green} , {Green, Blue}, {Blue, Red} , {Red, Green, Blue} }

3(x + 5) + 3(x + 5) A 6x + 30 b 6x -30 c 30-6x d 6x+10

Answers

Answer:

The answer is A. 6x+30

Step-by-step explanation:

Answer:

6x+30

Step-by-step explanation:

3(x+5) + 3(x+5)

3x+15+3x+15

6x+30

The movement of the progress bor moy be uneven because
Simplify (2 + 3)2 – 16: 2.
The solution is?

Answers

No one helps me when I really need it

Look at this graph:
у
100
90
80
70
60
50
40
30
20
10
х
0
10
20
30
40
50
60
70 80 90 100
What is the slope?

Answers

Answer: pretty sure it's 20

Step-by-step explanation:

Ajutatima pls!!!!!Va dau Coroana!!!!!!

Answers

Answer:

cronana va de

Step-by-step explanation:

I need help!!!
I have tried for 1 hour and 30 minutes and still haven’t solved it. If anyone can help I would greatly appreciate it.

Answers

Answer:

-2x+y = 4

y = 2x+4

Slope = 2                      y-intercept = 4

Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify from the first step to the second step. B+7=15. B=8

Answers

Answer:

Subtration property of Equality

Step-by-step explanation:

B + 7 = 15

   - 7    - 7

B = 8

The equation B + 7 = 15 becomes B = 8 by subtraction property of equality thus option (C) is correct.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use b.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given equation,

B + 7 = 15

Subtract 7 on both sides,

B + 7 - 7 = 15 - 7

B = 8

Hence "The equation B + 7 = 15 becomes B = 8 by subtraction property of equality".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

What is 3/4 divided by 1/3?

Answers

Answer:

1/4

Step-by-step explanation:

have a good day!

Other Questions
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrre 5. This year's enrollment in Mesa School District is6,000, which is 20 percent higher than last year's.What was last year's enrollment in Mesa SchoolDistrict? How did the introduction of sugar cane affect the Spanish crown 3 tacos cost $18. complete the table to show the cost of 4,5 and 6 tacos at the same rate. HELP MEH pweez How are rights about criminal procedure actually important safeguards of our political freedoms and our democratic system of government? Explain the term oxidising and reducing agent with examples of each.Don't spam!Give proper answer! Babies that hatch out of the egg with eyes wide open, fully feathered, and able to run around and find food in minutes are called The graphs of f(x) and g(x) are shown below.For what interval is the value of (f-9)x) negative? Phillip wants to buy a baseball cap. Sales tax in his city is 8%.Select the prices of all caps Phillip could buy for less than or equalto $20 once sales tax is added. What value of x makes this equation true?-6x + 3 = 45 Pls help answer quick, ill mark brainliest pls do fast need to turn in by 20 min.!! Which sentence from the story best supports the idea that Gortsby likes to judge others which of the following applies to conditions for African Americans in the 1920's? Which of the following had a major impact on the early atmosphere? Choose all above Photosynthetic organisms began to produce oxygenNitrogen consuming organisms began to produce carbon dioxideEarly bacteria reduced atmospheric carbon dioxideNitrogen producing organisms consumed oxygenPhotosynthetic organisms began to produce nitrogen Lexi took 15 shots on goal during the Columbus Day tournament, and she made 20% of them. How many goals did Lexi score? Use stamen in a sentence Solve the problem 3g+7g+8=-10+g What is a weird story you have? what is an autograph that transfers energy from the sun to make its own food? If offered employment by Amazon, would you be legally eligible to begin employment immediately?