1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mestny [16]
3 years ago
8

Rewrite the hyperbolic equation 4y^2 -9x^2 +54x-8y-113=0

Mathematics
1 answer:
maksim [4K]3 years ago
6 0

Answer:

Standard form:

(1/9)(y - 1)^2 - (1/4)(x - 3)^2 = 1

Step-by-step explanation:

4y^2 -9x^2 +54x-8y-113=0

-9(x^2 - 6x) + 4(y^2 - 2y) - 113 = 0

Completing the square:-

-9 [(x - 3)^2 - 9] + 4 [ y - 1)^2 - 1] = 113

-9(x - 3)^2 + 81 + 4(y - 1)^2 - 4 =  113

-9(x - 3)^2 + 4(y - 1)^2  =  113 - 77

-9(x - 3)^2 + 4(y - 1)^2 = 36.

Divide through by 36:-

(1/9)(y - 1)^2 - (1/4)(x - 3)^2 = 1.

You might be interested in
How do you know when to find area or circumference
const2013 [10]

Hello there,

To find the area of a circle you use an equation:

  • A = πr²

For the circumference you use:

  • C = 2πr

These two equations would help you find the area as well as the circumference of a circle.

Hope I helped,

Amna

5 0
4 years ago
Caleb needs to water his rectangular garden. The garden measures 5.76 meters by 4.45 meters. What is the area of the garden?
Angelina_Jolie [31]
5.76M * 4.45M
= 25.632M2
The area of his garden is about 25.63 meters squared
3 0
3 years ago
Product of a number x and 236
eduard

Answer:

236x

Step-by-step explanation:

Product means multiply.

In math, we always write the number first, which is called the coefficient.

So 236x.

6 0
3 years ago
This is a very confusing question, could you please help me solve it?
bazaltina [42]

Answer:

I think its the 3rd one but i am not sure.

Step-by-step explanation:

5 0
4 years ago
A study on how circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 de
gogolik [260]

Answer:

circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 decrease on the price

of the ticket. A circus owner sells an average of 340 tickets when the price of a ticket is $75. If x represents the number of times the price

decreases by $3, which function describes the revenue earned by the circus owner terms

6 0
3 years ago
Other questions:
  • Given the function f(x) = 5x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
    14·1 answer
  • Determine if the collection is not well defined and therefore is not a set. The collection of current NHL players
    13·1 answer
  • Given that f(x) = 4x − 3 and g(x) = quantity of 2x minus 1, divided by 3 solve for g(f(2)).
    14·2 answers
  • How do i change a trapezoid into a rectangle
    15·2 answers
  • A line contains the points (–4, 5) and (3, –9). Write the equation of the line using slope-intercept form. A. y=-2x-3
    11·1 answer
  • A car travels 351 miles on 13 gallons of gas. What is the number of miles driven per gallon of gas?
    14·2 answers
  • A painting class charges a $55 registration fee plus an additional $25 for each week that you attend. Write an equation that cou
    6·1 answer
  • 38. The number of bottles a machine fills is proportional to the number of minutes the
    8·1 answer
  • Round 9,912 to the nearest thousand. 10,000 9,910 9,000 9,900
    9·2 answers
  • I really dont know this
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!