3 years ago

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