The answer is the second one
If you want a fast explanation
You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal
If you check the vertices points those indicates the length of 2a thus thatll be 6
To get the center just use middle point equation and you'll get (1,3)
Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis
A=3
B=?
C=6
We use Pythagoras so

Thus you get

With that data now you can get the equation
You know that below (y-3)^2 there should be a^2 so that means there will be the 9
And in the (x-1)^2 there should be b^2 so that means there will be the 27
PD. The 3 besides y, and 1 besides x represent the center
Its
C. Draw a line connecting the the intersection of the arcs below and above the segment.
Answer:
6
Step-by-step explanation:
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation
.
If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

and the equation of the line is

Since b=6, the y-intercept of the line is 6.
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We need to find what number, if 6 is divided by it, gives us 12.
This isn't hard, I promise! I am going to take you through a few steps, and we'll find the answer.
Are you ready? Then let's begin...:)

✦ We can think about it as: 6 divided by what number gives us 12?
(let the number be z)

Multiply both sides by z

Divide both sides by z

Which is the same as

- hope it's helpful!
- wishing you a great day!

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