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
White raven [17]
3 years ago
9

What is the hyperbola 25x^2-100y-9y^2-90x-350=0 in standard form?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0
WE need to complete the square on the x and y terms:-

25x^2 - 100x - 9y^2 - 90y = 350
25(x^2 - 4x +    ) - 9(y^2 + 10x       )  =   350 + 25(  )  - 9(  )
25(x^2 - 4x  + 4 ) - 9(y^2 + 10x  + 25)  = 350  + 25(4)  - 9(25)
25(x - 2)^2 - 9(y + 5)^2 = 

25(x - 2)^2   -  9(y + 5)^2          =  225
----------------    --------------            --------
    225                 225                    225

  ( x  - 2)^2         (y + 5)^2  
  -------------   -   --------------  =    1         Answer
        9                    25                               



You might be interested in
How do you change 20.25 into a fraction
bearhunter [10]

Answer:

81/4

Step-by-step explanation:

I know this because I did this before

7 0
3 years ago
Read 2 more answers
Helppp!! I NEED HELP PLEASE
Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values f^{-1}(f(3.14)) and f(f(-7)).

Solution:

From the given table, it is clear that the function f(x) is defined as:

f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}

We know that if (a,b) is in the function f(x), then (b,a) must be in the function f^{-1}(x). So, the inverse function is defined as:

f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}

And,

f^{-1}(f(a))=f^{1}(b)

f^{-1}(f(a))=a              ...(i)

Using (i), we get

f^{-1}(f(3.14))=3.14

Now,

f(f(-7))=f(-12)

f(f(-7))=5

Therefore, the required values are f^{-1}(f(3.14))=3.14 and f(f(-7))=5.

5 0
3 years ago
Simplify the following: <br> log(25x^3) + 3log(1/x)
shtirl [24]
Hope this helps :))


...............................

3 0
3 years ago
X-8&gt;-3 inequality solution
natka813 [3]
You can add 8 to both sides so you get
x>5
6 0
3 years ago
Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remai
-Dominant- [34]

Answer:

"How much did Wang Yong pay each month" answer: $170

"How long did it take Wang Yong to pay back his entire debt?" answer: 50 months

5 0
3 years ago
Other questions:
  • Which of these could be the graph of f(x) = In x + 2?
    14·2 answers
  • What can you conclude about dilations from your observations in question 5
    8·1 answer
  • An animal shelter has 36 kittens and 12 puppies for adoption. What is the ratio of puppies to kittens.
    12·1 answer
  • Need help to solve 6/4y - 12 = 1/2y - 4​
    8·1 answer
  • Please help, seriously confused
    5·1 answer
  • Question:
    10·1 answer
  • Answer ASAP
    6·1 answer
  • Do it for me with steps
    12·2 answers
  • (x-5)(-2) Please help, need awnser by thursday
    6·1 answer
  • 14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!