The hyperbola with center at (5, -6), with vertices at (0, -6) and (10, -6), with (15, 0) a point on the
hyperbola.

Answers

Answer 1

Answer:

The standard form of the equation of a hyperbola with horizontal axis is:(x - h)^2 / a^2 - (y - k)^2 / b^2 = 1where (h, k) is the center of the hyperbola, a is the distance from the center to each vertex, and b is the distance from the center to each co-vertex.Using the given information, we can determine the values of h, k, a, and b:The center is (5, -6), so h = 5 and k = -6.The distance from the center to each vertex is 5, so a = 5.The distance from the center to each co-vertex is not given, but we know that the point (15, 0) lies on the hyperbola. Since this point is 10 units to the right of the center, we can assume that b is 10.Substituting these values into the standard form, we get:(x - 5)^2 / 5^2 - (y + 6)^2 / 10^2 = 1Simplifying, we get:(x - 5)^2 / 25 - (y + 6)^2 / 100 = 1Therefore, the equation of the hyperbola is:(x - 5)^2 / 25 - (y + 6)^2 / 100 = 1.


Related Questions

Q1 ? Help Robert is 7 ½ years old. How many months old is he? ​

Answers

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Create pattern with the rule n x 2

Answers

Step-by-step explanation:

n×2=?

The n means 1 then. 1×2 series

1 × 2 = 2

The opposite of 0 please help fast

Answers

Answer: The opposite of 0 is 0

Step-by-step explanation: Hope this help :D

Answer:

0

Step-by-step explanation:

because there is no opposite to 0 so it would just be 0

Jade and Juliette are riding their bikes across the country to promote autism awareness. They rode their bikes 45.4 miles on the first day and 56.3 miles on the second day. From now on, Jade and Juliette plan to ride their bikes 62 miles per day. If the entire trip is 2,878 miles, how many more days do they need to ride?
Write a short script that could be used to make a video about this cross-country bike trip. Provide a short character description, dialogue (conversation between characters), and directions for the actors, but keep the script simple

Answers

Jade and Juliette 44.7days  more days to complete their trip.

How to calculate the number of days to complete the trip

To calculate how many more days Jade and Juliette need to ride, we can use the equation:

Total distance = Distance on first day + Distance on second day + Distance on remaining days

We know the first and second day distances, and the daily distance for the remaining days, so we can substitute those values in the equation:

2878 = 45.4 + 56.3 + 62x

where x is the number of remaining days they need to ride.

Simplifying the equation:

2878 - 101.7 = 62x

2776.3 = 62x

Dividing both sides of the equation by 62

x = 44.7

hence, Jade and Juliette need to ride for 44.7 more days to complete their trip.

PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE

Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.


A. 2 x ? = 7 1/2

B. 7 1/2 x ? = 2

C. 2 x 7 1/2 = ?

D. ? x 7 1/2 = 2

E. ? x 2 = 7 1/2

PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE

Answers

I think it’s b 7 1/2 will need to be divided by 2 to find x

Step-by-step explanation:

7 \(\frac{1}{2}\) ÷ 2

A. 2 × ? = 7\(\frac{1}{2}\)

   Divide 2 on both sides to bring all the constants on one side...

   ? = 7 1/2 ÷ 2

B. 7 1/2 x ? = 2

  Divide 7 1/2 on both sides to isolate the ?

  ? = 2 ÷ 7 1/2

C. 2 x 7 1/2

    You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2

D. ? x 7 1/2 = 2

   Divide 7 1/2 on both sides

    ? = 2÷ 7 1/2

E. It's basically the same thing as A

Whatever is bolded is the answer

I hope this made sense and I hope this helps!!!

Which graph and equation shows a proportional relationship between x and y?

Which graph and equation shows a proportional relationship between x and y?

Answers

Answer:

x is tje best answer bro ...................

The perimeter of a rectangle is 90. One side of the rectangle is twice the length of the other.
What is the length of the longer side?

Answers

Answer:

30

Step-by-step explanation:

p=2l+2w

p=2(2w)+2w

p=4w+2w

p=6w

p=90

90=6w

15=w

Morgan had 1/2 a box of candy left after the movie she ate 1/2 of that. On the way home and still had 8 pieces left. She give one to her Little brother. How many pieces of candy were in the box when Morgan bought it?

Answers

Answer:

16

Have a good day <3

can u do this plz urgent ​

can u do this plz urgent

Answers

Answer:

1. Area = 22cm square cm 2. Area = 9m square m 3. Area = 18m square mHope it help ♥ heart and vote po plz..

Find the measure of c in each figure below using the side lengths given

Find the measure of c in each figure below using the side lengths given

Answers

Answer:

Step-by-step explanation:

take angle C as reference angle

using cos rule

cos C=adjacent/hypotenuse

cos C=21/75

cos C=0.28

C=\(cos^{-1}\)0.28

C=73.7 degree

What is the return on equity for a firm with 15% return on assets, 10% return on debt, and a .75 debt/equity ratio?

Answers

The return on equity for  the firm is 18.75%.

Return on equity

Return on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]

Let plug in the formula

Return on equity=.15+ [(.75)× (.15-.10)]

Return on assets=.15+ (.75×0.05)

Return on assets=.15+0.0375

Return on equity=0.1875×100

Return on equity=18.75%

Therefore the return on equity ratio is 18.75%.

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Express The Ratio 36 : 42 In it's Simplest Form ? ​

Answers

Answer:

6/7

Step-by-step explanation:

36/42 = 36:6/42:6 = 6/7

What is the simplest form of \(\sqrt[4]{324x^{6} } y^{8}\)

Answers

Answer: 12966y8(they are exponents 6 and 8)

Disclaimer: This answer might be wrong but I hoped I helped :)

Which is one condition that must be present for an inverse relation to be a function?
A. The function must be a straight line. The function must be a straight line.
B. The function must pass the vertical line test. The function must pass the vertical line test.
C. The inverse relation must be a straight line. The inverse relation must be a straight line.
D. The inverse relation must pass the vertical line test.

Answers

the correct option is D:

" The inverse relation must pass the vertical line test."

Which is one condition that must be present for an inverse relation to be a function?

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Out of 20 people how many would you expect to say that they like all seasons

Answers

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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A 3-foot piece of brass wire costs $18.00. What is the price per inch?

Answers

Answer:

50¢

Step-by-step explanation:

$18.00=1800.

3*12=36

1800/36=50

Answer:

Step-by-step explanation:

the price of per inch is $2

The following angles are supplementary to each other.
mzA= (4x + 30) and mzB = (2x - 30)°
Determine x.
15
20
30
60

Answers

Answer:

30

Step-by-step explanation:

Supplementary angles add to 180°.

\(4x+30+2x-30=180 \\ \\ 6x=180 \\ \\ x=30\)

I need help I have been stuck on this for a while

I need help I have been stuck on this for a while

Answers

a) The account with the largest balance is D. Rent A Truck which is $165.

b) The open account is D. Rent A Truck.

c) Since it takes seven years for negative credit history to be removed from a person's credit report, the year that the late payment at Rent A Truck will be removed is 2016, specifically by the end of February 2016.

What is a credit report?

A credit report records the borrower's credit history from various sources, including banks, credit card companies, collection agencies, and governments prepared by the following credit reporting bureaus: Equifax, Experian, and TransUnion.

What is an open account?

An open account refers to a credit that has not been fully discharged.

Unlike a closed account, the open account remains operational, with debit and credit transactions recorded, including finance charges and credit reports issued from it.

Thus, based on the facts supplied, Rent A Truck is the only open account because the other three have been closed.

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Pls answer this quickly. I need at atleast 70%

Pls answer this quickly. I need at atleast 70%

Answers

The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

How to find the equation of a line?

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

m = slopeb = y-intercept

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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which equation represents a line perpendicular to the line shown on the graph​

which equation represents a line perpendicular to the line shown on the graph

Answers

Answer:

y = 1/4x + (any number)

Step-by-step explanation:

m = -8/2 = -4, the equation shown is y = -4x + 8

perpendicular is  y = 1/4x + (any number), you didn't say where the line was perpendicular.

Ismail tried to prove that sin(θ) = cos(90°− θ) using the following diagram. His proof is not correct.

What is the first mistake in Ismail's proof?

Ismail tried to prove that sin() = cos(90 ) using the following diagram. His proof is not correct.What
Ismail tried to prove that sin() = cos(90 ) using the following diagram. His proof is not correct.What

Answers

Answer:

C. Ismail used the wrong sides in his ratio for cos (90 - θ)

Step-by-step explanation:

All steps correct apart from:

cos (90° - θ) = AC/BC

It should be

cos (90° - θ) = AB/BC

Correct choice is C

Answer:

c

Step-by-step explanation:

Need help please answer asap

Need help please answer asap

Answers

Answer:

1/2

Step-by-step explanation:

slope is 3/6 simplified is 1/2

Answer:

the slope is 1/2 simplified

Step-by-step explanation:

Formula: M=rise/run

rise=3

run=6

3/6= 1/2

of the company's
A company receives 1.5% commission on the sale price of each house sold. For each house he sells, James earns
commission. James sells a house for $205,000. How much money will James earn?

Answers

Answer:

$1,025

Step-by-step explanation:

(205000)(.015)/3  =  1025

James will receive or earn $1,025

The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles

Answers

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Can someone help me out figure what the answers are. Was only able to get 4.

Can someone help me out figure what the answers are. Was only able to get 4.
Can someone help me out figure what the answers are. Was only able to get 4.

Answers

The completed table of the functions and inverses can be presented as follows;

1. t(x) → a(x)

2. Q(x) → B(x)

3. G(x) → c(x)

4. f(x) → D(x)

5. y(x) → w(x)

6. e(x) → R(x)

7. U(x) → H(x)

8. P(x) → J(x)

9. m(x) → k(x)

10. S(x) → n(x)

Which method can be used to complete the table?

Making x the subject of the given functions to find the inverse gives;

1. a(x) = 2•(x - 6)

Therefore;

x = (a(x)/2) + 6

t(x) = (x/2) + 6

Therefore;

t(x) → a(x)

2. G(x) = (1/4)•x²

4•G(x) = x²

x = 2•√(G(x))

3. B(x) = √(x)/4

4•B(x) = √(x)

x = 16•(B(x))²

Q(x) = 16•x²

Therefore;

G(x) → c(x)

4. D(x) = (x + 6)/2

x = 2•D(x) - 6

f(x) = 2•x - 6

Therefore;

f(x) → D(x)

5. y(x) = (4•x + 2)²

(√(y(x)) - 2)/4 = 4•x

w(x) = (√(x) - 2)/4

Therefore;

y(x) → w(x)

6. R(x) = (1/4)•(4•x)²

x = √(4•R(x))/4 = √(R(x))/2

e(x) = √(x)/2

Therefore;

e(x) → R(x)

7. H(x) = 2•x + 6

(H(x) - 6)/2 = H(x)/2 - 3

x = H(x)/2 - 3

U(x) = x/2 - 3

Therefore;

U(x) → H(x)

8. J(x) = (√(x + 2))/4

x = (4•J(x))² - 2

P(x) = (4•x)² - 2

Therefore;

P(x) → J(x)

9. k(x) = x/4 + 3

x = 4•(k(x) - 3) = 4•k(x) - 12

m(x) = 4•x - 12

Therefore;

m(x) → k(x)

10. n(x) = 4•(x + 3)

x = n(x)/4 - 3

S(x) = x/4 - 3

Therefore;

S(x) → n(x)

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for the compound interest loan whose terms are given below, find the future value, or the amount due at the end of the specified time.

Answers

The $ 9689.313 is the compound interest loan whose terms are given below, find the future value, or the amount due at the end of the specified time.

A compound interest account that earns weekly interest will earn and reinvest weekly interest. Such an account grows faster than an annual compounding account.

There is an investment amount

P.= $ 8900 correct = 0.034 composition n = 52

Once a year, assuming the year has exactly 52 weeks. number of years t = 2.5

You can calculate the amount of money you earn as follows: a = P.(1+correctn)nta=8900 1 +0.034 52) 52∗ 2.5 a ≒ $ 9689.313.

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2. What is the 7th term of an A.P: 50+45+40? a. 40, b. 20, c. 15, d. 22​

Answers

The 7th term of an Arithmetic Progression 50+45+40 is 20

How to determine the 7th term of an Arithmetic Progression 50+45+40?

The Arithmetic Progression is given as:

50+45+40

In the above Arithmetic Progression, we have

First term, a= 50

Common difference, d = 45 - 50 = -5

The nth term of the Arithmetic Progression is calculated as:

Tn = a + (n - 1)d

Substitute the known values in the above equation

Tn = 50 + (n - 1) * -5

Substitute 7 for n in the above equation

Tn = 50 + (7 - 1) * -5

Evaluate the product

Tn = 50 - 30

Evaluate the difference

T7 = 20

Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20

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what is the answer for 6x + 3(x-2)

Answers

Answer:

9x - 6

Hope this helps! <3

(If you need a step by step lmk)

Answer:

6x+3(x-2)

6x+3x-6

9x-6

1 A hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north.
-What is the total distance traveled by the hiker?
-Draw a sketch representing the situation. Draw the resultant vector for the hiker’s displacement and label it R.
-What is the magnitude of the hiker’s displacement vector?

Answers

Answer:

Step-by-step explanation:

Distance has to do with how far an object or a body has travelled. If a hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north, the total distance covered by the hiker will be:

Distance = 2.0km + 1.4km

Total distance travelled = 3.4km

The displacement is the distance covered in a specified direction. This is expressed using the Pythagoras theorem as shown:

R² = 2.0²+1.4²

R² = 4+1.96

R² = 5.96

R = √5.96

R = 2.44km

Hence the magnitude of the hiker’s displacement vector R is 2.44km

Find the diagram attached

1 A hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north.-What

Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 4.5 inches. How many miles do they have to drive if the map scale is 1 in. = 35 mi?

Answers

Answer:157.5

Step-by-step explanation:becuase mutilpy 4.5x35 that equals 157.5

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