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

I need this done thanks!

Answers

Step-by-step explanation:

Median= n+1/2 ( if n is even )

So,

10+1/2=11/2=5.5

Therefore,

135 is your second answer

Spread of the data = in the above mentioned picture the wave given to find the spread of the data

Hope it helps

The two lines graphed on the coordinate grid each represent an
equation.
7.
6
5
4
2
6514
2
1
3
-
Which ordered pair represents a solution to both equations?
A.
(-4, 3)
B. (-3,-4)
C. (-4,-3)
D. (4, -3)
Need

Answers

9514 1404 393

Answer:

  C.  (-4, -3)

Step-by-step explanation:

The point where the lines cross is the solution to both equations. That point is in the third quadrant, where both coordinate values are negative.

The x-coordinate of the point is listed first, so the solution is ...

  (x, y) = (-4, -3)

Josh drinks 3 1/2 pints of milk a day. How much is this in cups?

Answers

Answer:

7 cups

Step-by-step explanation:

1 pint is 2 cups.

Just double the number of pints to get the amount of cups

Answer:

7

Step-by-step explanation:

63 > -73
I need help plssss

Answers

Answer:

that statement is true

is this the answer you are looking for?

Answer:

True

Step-by-step explanation:

Find JK................

Answers

Answer:

24 unit

Step-by-step explanation:

From the question,

JK = 2×NK.................... Equation 1

Using pythagoras theorem,

a² = b²+ c²................. Equation 2

From the diagram,

a = 15 unit, b = 9 unit, and c = NK

Substitute these values into equation 2

15² = 9²+(NK)²

Solve for NK

225 = 81+(NK)²

(NK)² = 225-81

(NK)²  = 144

NK = [tex]\sqrt{144}[/tex]

NK = 12 unit.

Substitute these value of NK into equation 1

JK = 2×12

JK = 24 Unit.

7a = 28 Is a=21 a solution?

yes or no

Answers

No, because 7 x 21 is 147.

Answer:

No

Step-by-step explanation:

No because if a = 21, then 7 * 21 = 147 and 147 is not 28.

Figure A to figure B?

Is that right?

Answers

Answer:

d

Step-by-step explanation: cause thats the only answer that will maked sense

Write the number in 2 equivalent forms as a fraction, decimal, or percent.
5/8
What is the equivalent decimal?

Answers

Answer:

0.625 62.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dividing 5 by 8 on a calculator results in the "equivalent decimal:"

5/8 = 0.625

0.625 converts to 62.5%:  a percent

5/8 is a proper fraction

plz plz plz plz plz HELP

Answers

Answer:

About $19.06

Step-by-step explanation:

25% of 23.98 is 5.995

23.98-5.995=17.985

6% of 17.985 is 1.0791

17.985+1.0791 is 19.0641,

which is $19.06

Brainliest?

PLEASEEEE HELP ME ASP

Answers

The last one! The angles of a triangle add up to 180 ;)


Choose the correct simplification of the expression (a^2 multiplied by b^5)^3

A^6/b^15

A^5/b^8

A/b^15

A^6/b^11

Answers

Answer:

1

Step-by-step explanation:

the first one because if you take the expression that you want, and expanding it out, you will get the first one.

Answer:

A

Step-by-step explanation:

(a^2)^3 (b^5)^3

The powers multiply when written like this. They don't add.

a^6 b^15

A

1. If a basketball player makes 9 baskets in 12 tries, what is her ratio of baskets to tries, in lowest terms?

2. At the next game, the player has the same ratio of baskets to tries. If she tries 20 times, how many baskets should she make?

3. At the third game, she still has the same ratio of baskets to tries, This time she makes 12 baskets. How many times did she probably try?

Answers

Answer:

1. 3:4

Step-by-step explanation:

The ratio of baskets to tries is 3/4, 15 basket was made in 20 tries and 12 basket in 16 tries

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

1) . If a basketball player makes 9 baskets in 12 tries, hence:

Ratio of baskets to tries = 9/12 = 3/4

2) For 20 tries:

Number of basket = (3/4) * 20 = 15

3) For 12 basket:

Number of tries = 12 / (3/4) = 16

The ratio of baskets to tries is 3/4, 15 basket was made in 20 tries and 12 basket in 16 tries

Find out more on equation at: https://brainly.com/question/2972832

The diameter of a golf ball is approximately 2 inches. What is its volume?
Round your answer to the nearest whole number.
O A. 4in3
O B. 8 in3
O c. 33 in3
O D. 18 in3

Answers

Answer:

4in^3

Step-by-step explanation:

Yahira collects 3,750 ounces of rainwater in the rain barrel outside her house. If the measurement lines count by 10, how many lines did the water reach? Type your numerical answer in the box below.

Answers

Answer:

375 lines

Step-by-step explanation:

Total ounces of rain water in the barrel = 3,750 ounces

Measurement lines in the barrel = 10 ounces per line

how many lines did the water reach?

Number of lines the water reach = Total water in the barrel / measurements per line

= 3,750/10

= 375 lines

The water in the barrel reach 375 lines

Please help me guys I need ur help

Answers

3.5 yr does this help?

• A number is 10.678 more than 8.76. What is the number?​

Answers

10.678 + 8.76 = 19.438

Your answer is 19.438!

Good luck!

Help!
Please type step by step! ​

Answers

Answer:

llllllllllllllllllllll

Step-by-step explanation:

hope this helps u....

what is the probability that a soccer play and a hockey player would be randomly chosen , that they would both be wearing blue

Answers

Answer:

5 out of 10%

Step-by-step explanation:

Answer:

not enough information

Step-by-step explanation:

you need to know how many soccer players and how many hockey players there are and out of that how many of them are wearing blue

I need help please! DON'T USE LINKS! WILL BE REPORTED

Answers

9514 1404 393

Answer:

  222 cm²

Step-by-step explanation:

The surface area can be found using the formula ...

  A = 2(LW +H(L+W))

To minimize fraction nonsense, we'll let H be the fraction.

  A = 2(12·8 +(3/4)(12 +8)) = 2(96 +15) = 222

The surface area of the prism is 222 square centimeters.

60 Points! Please answer correctly no bull answers if you don't know it don't answer!
But if you do know the answer plz answer quickly! WILL GIVE BRAINIEST, FASTEST ANSWER! EXPLAIN PLEASE <3333

Answers

Answer:

22.44 cm^2

Step-by-step explanation:

There's four triangles and one square so lets start with the triangles.

2.24×3÷2=3.36

That's the area of one triangle, there's four so:

3.36×4=13.44

Then the square!

3×3=9

13.44+9=22.44 cm^2

I'm not sure if this is the standard way since I didn't learn about pyramids so I used the area stuff, so sorry if its not correct.

Have a nice day!

Students at a middle school are divided into 6th, 7th, and 8th grades. A random sample of 15 students from each grade is chosen.
Which sampling method best describes this scenario?

A) simple random sample
B) stratified random sample
C) systematic random sample
D) voluntary response sample

Answers

Answer:

B. Stratified random sample is the correct answer

The best sampling method that describes the scenario where students from each grade (6th, 7th, and 8th) are randomly chosen in a sample of 15 students from each grade is B) stratified random sample.

In a stratified random sample, the population is divided into distinct groups or strata based on certain characteristics, and then a random sample is taken from each stratum. In this case, the distinct groups are the different grade levels (6th, 7th, and 8th grades). By randomly selecting 15 students from each grade, we ensure representation from each grade level in the sample.

This method allows for a more accurate representation of each grade level within the sample and can provide valuable insights into the characteristics and experiences of students in each grade.

To know more about sampling method click here :

https://brainly.com/question/15604044

#SPJ2

find the product and reduce to lowest terms 4/9 x 18​

Answers

Answer:

8

Step-by-step explanation:

its cuuz it is

Answer:

x = 8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/9-(x/18)=0

Step by step solution :

STEP

1

:

            x

Simplify   ——

           18

Equation at the end of step

1

:

 4     x

 — -  ——  = 0

 9    18

STEP

2

:

           4

Simplify   —

           9

Equation at the end of step

2

:

 4     x

 — -  ——  = 0

 9    18

STEP

3

:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       9

     The right denominator is :       18

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

3 2 2 2

2 0 1 1

Product of all

Prime Factors  9 18 18

     Least Common Multiple:

     18

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 2

  Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      4 • 2

  ——————————————————  =   —————

        L.C.M              18  

  R. Mult. • R. Num.       x

  ——————————————————  =   ——

        L.C.M             18

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4 • 2 - (x)     8 - x

———————————  =  —————

    18           18  

Equation at the end of step

3

:

 8 - x

 —————  = 0

  18  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 8-x

 ——— • 18 = 0 • 18

 18

Now, on the left hand side, the  18  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  8-x  = 0

Solving a Single Variable Equation:

4.2      Solve  :    -x+8 = 0

Subtract  8  from both sides of the equation :

                     -x = -8

Multiply both sides of the equation by (-1) :  x = 8

One solution was found :

x = 8

                 

Ariel is making bracelets. She bought a 15% foot long string, and a 1243 foot long string. If each
bracelet requires 42 of a foot of string, how many bracelets can Ariel make?

Answers

Answer:

She can make 55 bracelets

Step-by-step explanation:

We have the correct question as follows;

Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make

we have the solution as follows

Firstly, we need to find the total length of the strings bought

We can get this by adding what was bought

That would be;

15 1/6 + 12 1/3

= 91/6 + 37/3

= (91 + 74)/6 = 27 1/2 ft

From the question, each bracelet requires 1/2 ft long

so the number of 1/2 ft long bracelets we can find will be;

27 1/2 divided by 1/2

= 55/2 * 2/1

= 55

jane leaves her bicycle at 8:00 AM, traveling at an average speed of 15mph. her brother frank leaves home in his car at 10:30 AM, traveling the same route as Jane at an average speed of 40 mph. at what time will they meet? i will give brainliest

Answers

Answer: 11:00

Step-by-step explanation:

Answer: 11:00

Step-by-step explanation:

Find the mean cost of pants: $12, $16, $22, $ 23, $11, $14. Round to the nearest cent.

Answers

Answer:

16.33

Step-by-step explanation:

I hope this was right!

Please help! Tysm if you do!

Answers

Answer:

A

Step-by-step explanation:

We can solve this problem by eliminating wrong answers

It can be b because there is no 3

It can be c because the equation would be 4+3

And it can be d because the equation would be 3x+4

so it must be a

Answer:

option A is correct

as additional page costs is not fixed so there will be any value of x with multiply by 4

and the fixed remain only one time so it remains fixed and 3 is also fixed.

What is the mode of the following numbers?
3,7, 5, 2, 5, 5, 2,5

Answers

The mode is 5.ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

The mode is 5, hope this helps!

A company created a census to see the impact of pollution in its state. The company attempted to interview every resident of the state. The people it interviewed are an example of a _____.

A.) survey
B.) population
C.) sample
D.) census

Answers

Answer: B) population

Exclamation:
Answer b- okay lol good luck

We can rewrite the expression 16+8 as 8 x (2+1). Notice that 8 is the greatest factor of 16 and 8. Use this same method to rewrite the expression 24+36 as the product of the greatest common factor of 24 and 36 and the sum of the remaining numbers. 24 + 36 = ____________

Answers

Answer:

60

Step-by-step explanation:

24+36=60

Answer:

60

Step-by-step explanation:

24+36=60

To find the roots of the quadratic equation 3x²- 2x+1=0 using the quadratic formula​

Answers

Answer: This is what i got x=1+i √2/3 not sure if that is what you need but hope it helps

Step-by-step explanation:

Answer:

[tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]

Step-by-step explanation:

Hello!

The quadratic formula is: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], derive from the standard form of a quadratic: [tex]ax^2 + bx + c[/tex].

The expression 3x² - 2x + 1 is a lot like our standard form:

a = 3b = -2c = 1

Let's plug in the values and solve.

Solve the Quadratic Formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(2)(1)}}{2(3)}[/tex][tex]x = \frac{2 \pm\sqrt{4 - 8}}{6}[/tex][tex]x = \frac{2 \pm \sqrt{-4}}{6}[/tex][tex]x = \frac{2 \pm 2\sqrt{-1}}{6}[/tex][tex]x = \frac{ 1 \pm 1\sqrt{-1}}{3}[/tex]

The roots are [tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]

Learn more about the derivation of the quadratic formula here:
https://brainly.com/question/11630991

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