We know that standard equation of a vertical hyperbola is in form $\frac{(y-k)^2}{b^2}-\frac{(x-h)^2}{a^2}=1$ , where point (h,k) represents center of hyperbola.

Upon comparing our given equation with standard vertical hyperbola, we can see that the value of h is 6.

To find the value of k, we need to rewrite our equation as:

$\frac{(y-(-3))^2}{81}-\frac{(x-6)^2}{89}=1$

Now we can see that value of k is $-3$ . Therefore, the vertex of given hyperbola will be at point $(6,-3)$ and option D is the correct choice.

6 0

2 years ago

What is the result when 3x^4+2x^3-5x^2-6x-2 is divided by x+1

SCORPION-xisa [38]

Answer:

The answer to your question is: 3x³ - x² - 4x - 2

Step-by-step explanation:

Data

3x⁴ + 2x³ - 5x² - 6x - 2

x + 1

Process

Synthetic division

3 2 -5 - 6 -2 -1

-3 1 4 2

3 -1 -4 -2 0

Result 3x³ - x² - 4x - 2

5 0

2 years ago

How many hours are in 1/4+3/5

I am Lyosha [343]

1/4 an hour is 60 divided by 4 times 1 which is 15 minutes.
3/5 an hour is 60 divided by 5 times 3 which is 36 minutes.
15 plus 36 equals 51 minutes which is less than 1 hour.

7 0

2 years ago