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

Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?​

Answers

Answer:

24 girls

Step-by-step explanation:

24:12

2:1

Petra is making donuts by stamping circles in dough using a pastry stamp with a diameter of 3 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 1 inch.

How many square inches of dough are left to make the donut after the hole has been removed?

Answers

Answer:

2 inches would be left

Step-by-step explanation:

 please help me ahhh im doing 8th grade math with pythagorean theorem

Answers

I think it isnt a right triangle, but im sorry if thats wrong

Step-by-step explanation:

The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.

The hypotenuse is the longest side so 3.5 is our hypotenuse.

Apply formula to see of true.

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

[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]

[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]

[tex]15.25 = 12.25 {?}[/tex]

So it isn't a triangle since they aren't equal

Find the quotient of these complex numbers. (3 + 3i) / (5 + 4i) =
Plz help

Answers

Answer:27/41+3/41i

Step-by-step explanation:

Just finished this problem

Answer:

guy above correct via A P E X

Step-by-step explanation:

What is the solution to this inequality?
4(2x + 2) + 12 > 100

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

find the volume of the cylinder!



Use 3.14 for pi-

round your answer to the tenths place !!


Will mark b if correct:)

Answers

2123.72 cm


(sorry if it’s wrong)

A prism has a volume of 405 cubic inches.
4.5 in.
15 in.
Which is the correct substitution for finding the height of the prism?​

Answers

Answer:

405 = 15 times 4.5 times h

Step-by-step explanation:

Complete question

A prism has a volume of 405 cubic inches.

A prism has a length of 15 inches, height of h, and width of 4.5 inches

Which is the correct substitution for finding the height of the prism?

A V = l w h. 405 = 15 + 4.5 + h.

B V = l w h = 15 times 4.5 times 405

C V = l w h = 15 times 4.5 times 15

D V = l w h. 405 = 15 times 4.5 times h

Find the diagram attached

Volume of the prism is expressed as;

V = lwh

l is the length

w is the width

h is the height

Given the following

l = 15inches

w = 4.5inches

Required

Expression to calculate the height g

Substitute the given values into the formula

V = lwh

405 = 15 * 4.5 * h

Hence the required option is 405 = 15 times 4.5 times h

Answer:

405 = 15 times 4.5 times h

Step-by-step explanation:

Give it to the other person.

What's the constants of 5x + 4 + 7x

Answers

the constant / the answer is 4

Answer:

4

Step-by-step explanation:

the constant is a number that never changes

A publisher sells
[tex] {10}^{6} [/tex]
copies of a new science fiction book and
[tex] {10}^{3} [/tex]
copies of a new mystery book. How many times as many science fiction books were sold than mystery books?

_ books​

Answers

Answer is above me tap the photo bro!

Just a bit help here, heh... -8a^0?

Answers

Answer:

-8 is the answer

Step-by-step explanation:

BCos any number or letter raised to the power zero is 1

-8*a⁰

-8*1

-8

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.

Answers

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

Pyramid A

[tex]s = 4[/tex] -- base sides

[tex]V = 36[/tex] -- Volume

Pyramid B

[tex]s = 6[/tex] --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

[tex]V = \frac{1}{3} * B * h[/tex]

Where B represents the area of the base equilateral triangle, and it is calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]

[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 4\sqrt 3[/tex]

The height is calculated from:

[tex]V = \frac{1}{3} * B * h[/tex]

This gives:

[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]

Make h the subject

[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]

[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]

[tex]h = \frac{27}{\sqrt 3}[/tex]

To calculate the volume of pyramid B, we make use of:

[tex]V = \frac{1}{3} * B * h[/tex]

Since the heights of both pyramids are the same, we can make use of:

[tex]h = \frac{27}{\sqrt 3}[/tex]

The base area B, is then calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where

[tex]s = 6[/tex]

So:

[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 9\sqrt 3[/tex]

So:

[tex]V = \frac{1}{3} * B * h[/tex]

Where

[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9 * 27[/tex]

[tex]V = 81[/tex]

Answer:

81

Step-by-step explanation:

OPLEAS HELP ILL GIVE BRAUINLIEST

Answers

Answer:

The bank is what pays you interest.

Step-by-step explanation:

This is because when you put money in a savings account, the bank is technically borrowing the money and paying you interest in return.

A 7-meter by 7-meter square is reduced so that each side is half as long as the original.

a. Describe the new square. (Side length)

b. Write the ratio of the perimeters in the order New:Original.

c. Write the ratio of the areas in the order New:Original.

Answers

Answer:

Step-by-step explanation:

7m ÷ 2 = 3.5mPart A: New square is 3.5-meter by 3.5-meterThe original square's perimeter is 7x4=28-meter.The new square's perimeter is 3.5x4=12-meterPart B: The ratio is 12:28 or 3:7The original square's area is 7²=49 meter²The new square's area is 3.5²=12.25 meter²Part C: The ratio is 49:12.25

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project. How many different ways are there to present those ribbons if the order matters? 56 336 6,720 8,064

Answers

Answer:

the answer is B.336

Step-by-step explanation:

got it right on ed

There are 336 different ways are there to present those ribbons if the order matters.

What is the combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.

Different ways are there to present those ribbons if the order matters.

By permutations, we have to calculate the number of different  ways to arrange the ribbon is;

[tex]=3 \times 2\times 1\\\\=6[/tex]

Now, we have to calculate the different  ways to choose 3 winners from 8 is;

[tex]=8\times 7\times 6\\\\=336[/tex]

Therefore, the correct option is (b), 336 ways are there to present those ribbons if the order matters.

For more details about the combination refer to this link:

brainly.com/question/1216161

#SPJ2

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

the mean changes a lot, the median doesn't change

Answer:

B

Step-by-step explanation:

the mean is 599.5 and the median is 410

pleas help ive been in this exam for 4 hours
An expression is shown below:

10n3 − 15n2 + 20xn2 − 30xn

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

the

Step-by-step explanation:

the comen factor are 10-15+20-30

and Factor the entire expression completely.

are n and 2

What's the circumference of a circle with a radius of 10 inches

Answers

Answer:

5

Step-by-step explanation:

5


best describes her chances of rolling 12 in one try?
A certain
D Impossible
B likely
e unlikely
*29. a. Multiple Choice which of these Venn diagrama illustrates the
relationship between squares () and rhombuses (R)?
A
D
R
Explain Explain your answer for part a.
90. The

Answers

B.likely answer answer

What is the solution for x in the equation? 10x-4.5+3x=12x-1.1

Answers

Answer:

[tex] putting \: the \: like \: terms \: together\\ 10x + 3x - 12x = 4.5 - 1.1 \\ x \: = 3.4[/tex]

Guys pls help me!!!!!!

Answers

Answer:

B

Step-by-step explanation:

If x is any larger than 4 it would be greater than 5, since 2*4-3=5

If x was any smaller than -1  it would be greater than 5, since 2*-1-3=|-5|=5

C hope this help you

THIS IS TO ALL THE PEOPLE ANSWERING WITH UN KNOWN LINKS

Answers

Answer:

right i hate that so much

Step-by-step explanation:

Answer:

I feel the same though. So no need to feel bad. I hope you don't get scammed by anymore of them. BTW I have some more information on them on some of my questions if you wanna look. :) If they are still there though. Lol...

Como leer el decimal 0.000000215

Answers

Answer:

cero con doscientas quince mil millonésimas

Step-by-step explanation:

Mhanifa please help! Look at the picture attached!!!

Answers

Answer:

(17)

Sum of interior angles of a quadrilateral is 360°

110° + 130° + x + x - 3° = 360°2x = 360° - 237°2x = 123°x = 61.5°

(18)

Sum of interior angles of a hexagon is 180°*(6 - 2) = 720°

2*90° + 2x + 2(x + 22°) = 720°90° + x + x + 22° = 360°2x = 360° - 112°2x = 248°x = 124°

(19)

Interior angles of a given pentagon are all marked as congruent, so the exterior angles are congruent too.

Sum of exterior angles is 360°.

x = 360°/5x = 72°

Choose the <,>,= symbols to answer the question

Answers

Answer:

1. >

2,<

3.<

4.>

5,>

6.<

7.>

8.>

Step-by-step explanation:

Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is​

Answers

I don’t know the answer to this bc I can’t remember

how many units of meters make a kilometer?

Answers

ANSWER: 1000m


EXPLANATION: 1 km = 1000

27 MP3s is what percent of 238 MP3s

Answers

Answer:

27/238 = n/100

Step-by-step explanation:

Find and interpret the standard deviation of the set of data. 7. {6, 8, 2, 3, 2, 9}​

Answers

Answer:

3.1

Step-by-step explanation:

Tom decides to pick up some pizzas and drinks for his family. He notices that the pizza costs the same as 7 drinks. The 2 pizzas and 8 drinks cost $33. What is the price of each item?

Answers

Answer:

Drinks = $1.5

Pizza = $10.50

Step-by-step explanation:

let d = drinks

p = pizza

p = 7d  equation 1

2p + 8d = 33 equation 2

from equation 1, we know the price of one pizza, the price of two pizzas can be determined by multiplying by 2

2p = 7d x 2 = 14d  eqn 3

Substitute for 2p in equation 2  

14d + 8d = 33

22d = 33

Divide both sides of the equation by 22

d = $1.5

Substitute for d in equation 1

p = 1.5 x 7 = $10.5

I really need help guys plz help me and thank you.

Answers

Answer:

It's A

Step-by-step explanation:

............none...........

I think is A. It looks kinda reasonable.
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