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
If you're multiplying by 10, you're moving the decimal point to the right, the same with any multiplication in the 10's, so 100, 1,000, etc. This is because you are making the number 10 times larger, so if you had 3.4, the 4 is in the 1/10 column so multiplying by 10 would put it in the units column, making the number 34.
On the other hand, dividing by the 10's makes the decimal point move to the left because you are making the number 10 times smaller, so if the units column is worth 1, then 10 times less than that is 1/10, which is the first decimal place.
I hope this helps! I tried to explain it well but let me know if you still don't understand or if I've confused you in any way :)
Answer:
1/6
Step-by-step explanation:
There are 2 numbers greater than 4 on a die (5 and 6).
A spinner divided into 12 equal sectors numbered 1 through 12 has 6 even numbered sectors.
Therefore, the probability is:
P = (2/6) (6/12)
P = 1/6
Step-by-step explanation:
Given
- 5x + 3 = 2x - 1
or, 2x + 5x = 3 + 1
or, 6x = 4
or, x = 4/ 6
Therefore x = 2 /3
Hope it will help :)❤
