how do write an equation for this hyperbola from the foci?

How Do Write An Equation For This Hyperbola From The Foci?

Answers

Answer 1

Answer: Memorize the formula

Step-by-step explanation:

( x / a )^2 - ( y / b )^2 = 1

Where a and b are the semi-axis

The value of a is half the distance from points that cuts off x-axis, in this case

From -5 to 5 there is 10 so 5 is value of "a"

Value of b can find by the formula

c^2 = a^2 + b^2

Which c is the value of the point bold on the rightmost place in x axis. In this case its 13

13^2 = 5^2 + b^2

169 = 25 + b^2

b = 12

SO we got a = 5, b = 12

ANSWER: (x/5)^2 - (y/12)^2 = 1


Related Questions

Of the last 18 trains to pull into Castroville Station, 12 were full. Considering this data, how many of the next 12 trains would you expect to be full?

Answers

Answer:8

Step-by-step explanation:

There are 12 of the next 12 trains would expect to be full.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

Based on the information provided, it seems that 12 out of the last 18 trains to pull into Castroville Station were full, which is a proportion of 12/18 or 2/3.

Therefore, if the same proportion of full trains holds in the future, one would expect 2/3 or 8 of the next 12 trains to be full.

This prediction is based on the assumption that the proportion of full trains remains constant.

Thus, there are 12 of the next 12 trains would expect to be full.

Learn more about the proportion here:

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A curve is given the equation xy=25 and the equation of a line y=mx+b.
i. Express m in terms of b given that the line and the curve have one and only one point of intersection.
ii. If the line intersects the curve in two distinct points, find the set of values of b, given m=-5

Answers

Answer:

Below in bold.

Step-by-step explanation:

i, This is a rectangular hyperbola with symmetry about the line y = -x

   If it touches the graph at one point only then

y = 25/x

y = mx + b so

25/x = mx + b

mx^2 + bx + 25 = 0

Using the quadratic formula:

x = (-b + sqrt(b^2 - 25*4*m)) / 2m

Now there's only one value of x so

b^2 - 25*4*m = 0

b^2 = 100m

m = b^2/100.

m = +/-b/10.

ii  In this case b^2 > 100m

If m = |-5|

b^2 > 500

b > +/-√500

So b > √500 or b < -√500.

At age 21, Felipe is 60% of the minimum age he must be to become U.S. President.
What is the minimum age he must be to become U.S. President?

Answers

35 years of age
Hope this helped

Answer:

35 years

Step-by-step explanation:

[tex]\frac{60}{100} = \frac{21}{y}[/tex]

Cross Multiplying:

[tex]21*100 = 2,100\\2,100/60 = 35[/tex]

Last question plz make sure it’s right and NO WEBSITES/LINKS will mark brainiest if right :)

Answers

Answer:

4/5

Step-by-step explanation:

What number represents the opposite of point E on the number line?

Answers

Answer:

the opposite of point E is 3

Identify the image of ∆XYZ for a composition of a 300° rotation and a 60° rotation, both about point Y.
HElppppppp 10 mins left

Answers

Answer:

First Image is the orginal image of ∆XYZ, and the second is the composition of a 300° rotation and a 60° rotation (360°)

The image of ∆XYZ for a composition of a 300° rotation and a 60° rotation, both about point Y is 360°

What is trigonometry?

Trigonometric ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

various ratios are:-

sin=perpendicular/hypoteneusecos=base/hypotenusetan=perpendicular/base   (tan30°)=5/bcot=base/perpendicularsec=hypotenuse/basecosec= hypotenuse/perpendicular

The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as trigonometric.

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I NEED HELP!!!

Find the area of this figure

Answers

Answer:

265 yd squared

Step-by-step explanation:

We can solve this problem by taking the little triangle on the left side and moving it to the right to get a rectangle, and from there we can find the area like its a rectangle

21.2*12.5=265

could someone give me answers for these three? no wrong answer or spam or link

Answers

Answer:

Equation: 2x + 13 = 5x - 20

x = 11

<FDG = 35

Step-by-step explanation:

These are vertical angles so they're equal to each other:

2x + 13 = 5x - 20

2x - 5x = -20 - 13

-3x = -33

x = 11

<FDG:

5x - 20

5(11) - 20

55 - 20

35

Alexandria, Bettina, and Crystal are planning a road trip together. The road trip is 1,100 miles. They plan to drive 50 miles per hour for the entire trip and have agreed on the following conditions. · Alexandria will drive 60% of the road trip. • Bettina will drive 1 mile for every 10 minutes of the road trip. • Crystal will drive the remainder of the road trip. Find the total driving time for the trip. Then determine the amount of time and how many miles each person will drive.​

Answers

So this is the sawger those

could someone explain? i don't understand what to do

Answers

Answer:

112 degrees

Step-by-step explanation:

A triangle is comprised of 180 degrees.

34 + 34 = 68

180 - 68 = 112 degrees

what is 2 x 2 x 2 bob ross

Answers

Answer:

8

Step-by-step explanation:

[tex]2^{3}[/tex] is equal to 8

Answer:

8

Step-by-step explanation:


Mary runs in the Chicago marathon and it takes her 5 hours to complete it. Write a
or unit rate that could describe Mary's run if a marathon is 26.2 miles long.



Answers

If you want to keep it technical, the normal “/unit rate” for running is minutes per mile. You can use dimensional analysis like I did below to find the answer. You should get 11.45 min/mile or about 11 min 25 sec per mile

Is the relation y = 3x + 1 linear or non-linearrrrrrrrrrr???????????

Answers

Answer:

linear

Step-by-step explanation:

Answer:

non linear

Step-by-step explanation:

The midpoint of AB is M(-4, 2). If the coordinates of A are (-6, 5), what are the coordinates of B?

Answers

answer is most likely (5,6)

Answer:

figure it out

Step-by-step explanation:

Help me plz due in a little bit

Answers

Answer: vertical & x = 25

75 = 4x - 25

100 = 4x

x = 25

Can someone please help me asap ill mark brainlist!!!

Answers

Answer:

c

Step-by-step explanation:

The correct answer is a.

1.
The distance from the Sun to Mercury is 3.598. 10^7
miles. The distance from the Sun to Neptune is
2.798. 10^9 miles. How far is Mercury from Neptune?
Write your answer in scientific notation.

Answers

Answer:

Exponente positivo

Potencias de 10

Escribe estos números en forma ordinaria:

           7'3·103;  4'724·108; 8'24·105

Notación científica. Orden de magnitud. Comparaciones

Expresa en notación científica las siguientes cantidades e indica su orden de magnitud.

235'74; 1985; 12 billones; 320 millones; 37.800.000.000; 220.000.

 

La desaparición de los dinosaurios ocurrió hace 65 millones de años, aproximadamente 108 años. Por ello hemos situado la D debajo de la potencia correspondiente:

El nacimiento del Universo (U) ocurrió hace 15 mil millones de años . Sitúa U en la casilla que le corresponde. Haz lo mismo con:

El califato cordobés de Abderramán (A): aproximadamente 800 años.

El control, del fuego (F): hace 600.000 años.

Aparición del hombre de Cromagnon (C): 30.000 años.

El nacimiento de la Tierra: (T): 4.5 mil millones de años.

El primer paso del hombre en la Luna (L): hace una veintena de años.

El primer paso del hombre en la Tierra (H): tres millones de años

La invención de la imprenta por Gutenberg (G): hace 550 años.

 

La nebulosa "Triangulum" está a 1'4·1022  metros de la Tierra. Escribe esta distancia en forma ordinaria.

Step-by-step explanation:

Is this right? Please help me

Answers

Answer:

Yes.

Step-by-step explanation:

Every tenth is equal to ten one-hundreths/10%. So, since 0.2 is essentially a different way to write 20%, 20% of customers wanted cheese and no chili.

Can you maybe put up the explanation too and not just the answer? Thank you

Answers

Hope it helps you! .........

What is the center of the circle shown below? A.J B. 7.8 C. K D.JK​

Answers

Answer:

J

Step-by-step explanation:

J is the center of the circle

Please help show work
(Don’t mind my answer I accidentally clicked)

anything helps :)

Answers

There’s no work for you to show

CAN SOMEONE HELP ME PLS

Answers

Answer:

D

Step-by-step explanation:

21 points Brailiest pic below

Answers

I think it would be C hopefully you get right

1
Jennifer writes the letters M-O-N-T-A-N-A on cards and then places the cards in a hat. What is
the probability of picking an N?

Answers

Given:

Jennifer writes the letters M-O-N-T-A-N-A on cards.

To find:

The probability of picking an N.

Solution:

We have,

Total number of cards = 7

Total number of cards with letter N = 2

Now, the probability of picking an N is:

[tex]\text{Probability}=\dfrac{\text{Number of cards with letter N}}{\text{Total number of cards}}[/tex]

[tex]\text{Probability}=\dfrac{2}{7}[/tex]

Therefore, the probability of picking an N is [tex]\dfrac{2}{7}[/tex].

“Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.” Help pls !

Answers

2x+x-1=8
x=3
y=3-1
y=2
the answer is (3,2)
hope this helps!!

There are 12 dogs and 15 cats at the pet store. Find the ratio of cats and dogs

Answers

Answer:

15:12

Step-by-step explanation:

hope this helps!

The ratio of dogs and cats at the pet store is 12:15 and in simplest form, it is 4:5.

What is Ratio?

When evaluating two or more numbers, the phrase ratio is used in mathematics. When one quantity is contrasted with another, it is used to show how big or tiny it is.

The division is used to compare the two numbers in a ratio. The term "antecedent" in this context refers to the dividends and "consequent" to the divisor.

As per the given data provided in the question,

Total number of dogs in the pet store, D = 12

Total number of cats in the pet store, C = 15

The ratio of dogs to cat be,

D:C = 12:15

Now, the ratio in simplest form,

D:C = 4:5

To know more about Ratios:

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A man spend 24% of his salary on transportation,25% of the rest on rent and the balance left is 1710 how much was spent on the rent​

Answers

Answer:

About, 492.63.

Step-by-step explanation:

X(.76)(.75) = 1170

X = 1170/(.76)(.75) = about 2052.63

Spent on Transportation is the original amount * .24 = .24*1170/(.75 * .76) = around 492.63.

describe distributive property

Answers

Answer:

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Step-by-step explanation:

Answer:

it generalized the law of algebra in which we have to do numbers to nearest 10 100 1000....

PLEASE HELP ASAP!!!. :)

Answers

Answer:

it is the 3rd one on the page

HELP PLEASE ASAP!!!!!!!!!!!!

Answers

Answer:

a = 2, b = 3

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , so

3a + 11 = a + 15 ( subtract a from both sides )

2a + 11 = 15 ( subtract 11 from both sides )

2a = 4 ( divide both sides by 2 )

a = 2

and

3b + 5 = b + 11 ( subtract b from both sides )

2b + 5 = 11 ( subtract 5 from both sides )

2b = 6 ( divide both sides by 2 )

b = 3

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