restra06 restra06
  • 04-02-2019
  • Mathematics
contestada

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

Respuesta :

Аноним Аноним
  • 04-02-2019

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.

Answer Link

Otras preguntas

Which expression is equal to 811? 11 ÷ 8 11−8​ 8 ÷ 11 8−11 plz help
In a reaction, chlorine accepts an electron to form Cl-. Which statement is true about the atomic size of the chlorine ion?
What kind of camera did Joseph Niepce develop in 1826? a. Portable b. Foldable c. Pocket d. Room Sized
once again please help me ​
SOMEONE HELP !! A shop teacher has four sockets in a drawer. They are labeled 5/16 - inches 3/8 - inches 13/32 - inches and 15/32 - inches . Which of these sock
GIVING 50 POINTS AND BRAINLIEST TO CORRECT ANSWER What important events happen during the Krebs cycle? (Chose all that apply) releases energy in the form of FAD
They never tell the truth,..........? (add a question tag )​
Help me please with this question
what is the main purpose of the experiment step in the scientific method​
I don’t understand this question. Plz help!