The 7th term of the geometric sequence is 8,192!
Answer:
Step-by-step explanation:
First off, I'm assuming that when you said "directrices" you mean the oblique asymptotes, since hyperbolas do not have directrices they have oblique asymptotes.
If we plot the asymptotes and the foci, we see that where the asymptotes cross is at the origin. This means that the center of the hyperbola is (0, 0), which is important to know.
After we plot the foci, we see that they are one the y-axis, which is a vertical axis, which means that the hyperbola opens up and down instead of sideways. Knowing those 2 characteristics, we can determine that the equation we are trying to fill in has the standard form

We know h and k from the center, now we need to find a and b. Those values can be found from the asymptotes. The asymptotes have the standard form
y = ±
Filling in our asymptotes as they were given to us:
y = ±
where a is 2 and b is 1. Now we can write the formula for the hyperbola!:
which of course simplifies to

Answer:
Emilia bought 28 sweets
Step-by-step explanation:
now they have 65, but before they had 65-15+10 because earlier, zakiah had ten more sweets than now and Emilia had 15 less, so basically, if you wanna calculate number of sweets they had earlier, you have to make minus from plus and in reverse too.
65-15+10=60 and now just do that simply ratio
E:Z=7:8
E+Z=7x+8x
60=15x
4=x
7x=28=Emilia
8x=32=Zakiah
Accuracy test:
(28+15)+(32-10)=65
28 is 4•7 and 32 is 4•8
Answer:
B(27/10)that that is the answer
Answer:
1
cups of strawberries
Step-by-step explanation:
To find how much you will need for 2 pies, multiply 4/5 by 2:
4/5(2)
= 8/5
Simplify this to a mixed number:
= 1 
So, you will need 1
cups of strawberries to make 2 pies