Answer:

Step-by-step explanation:
we are given
center =(0,0)
we can compare with
center=(h,k)=(0,0)
so, h=0 and k=0
a=2 and b=5
now, we can use equation of hyperbola formula

now, we can plug values

we can simplify it
and we get equation of hyperbola as

Answer:
A.
Step-by-step explanation:
We have x in exponent, so it is an exponential function.
Exponent is negative, so is is an exponential decay.
Answer:
X=-1
Step-by-step explanation:
3x-6=-9
3x=-9+6
3x=-3
x=-1
Answer:
A. 2^11
Step-by-step explanation:
(They are basically asking what's 2^4 × 2^7, but with more words.)
I usually do each exponent individually:
2^4 is the same as 2 × 2 × 2 × 2 = 16 (or you could have read the text to figure that out)
2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128
Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.
BUT, you can also:
(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)
2^4 × 2^7
4 + 7 = 11
2^11 (This equals 2,048 btw. You don't even have to check all the options to get the answer).
Hope this helps friend :)
The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.