Answer:
A
Step-by-step explanation:
In this exercise we have to use the knowledge of geometric progression to find three specific numbers, in this way we can say that these numbers correspond to;
Then using the formula of the geometric progression we find that:
now, the differences between the terms must be the same:
and now, when we increase the third term by 9,so we have:
![(a_1*r^2 + 9)/(a_1*r + 2) = (a_1*r + 2)/a_1\\(a_1^2*r^2 + 9*a_1)/(a_1*r + 2) = a_1*r + 2\\a_1^2*r^2 + 9*a_1 = (a_1*r + 2)^2 = a_1^2*r^2 + 4*a_1*r + 4\\4*a_1*r - 9*a_1 + 4 = 0\\9*a - 4 = 4*a_1*r\\r = (9*a_1 - 4)/(4*a_1)](https://tex.z-dn.net/?f=%28a_1%2Ar%5E2%20%2B%209%29%2F%28a_1%2Ar%20%2B%202%29%20%3D%20%28a_1%2Ar%20%2B%202%29%2Fa_1%5C%5C%28a_1%5E2%2Ar%5E2%20%2B%209%2Aa_1%29%2F%28a_1%2Ar%20%2B%202%29%20%3D%20a_1%2Ar%20%2B%202%5C%5Ca_1%5E2%2Ar%5E2%20%2B%209%2Aa_1%20%3D%20%28a_1%2Ar%20%2B%202%29%5E2%20%3D%20a_1%5E2%2Ar%5E2%20%2B%204%2Aa_1%2Ar%20%2B%204%5C%5C4%2Aa_1%2Ar%20-%209%2Aa_1%20%2B%204%20%3D%200%5C%5C9%2Aa%20-%204%20%3D%204%2Aa_1%2Ar%5C%5Cr%20%3D%20%289%2Aa_1%20-%204%29%2F%284%2Aa_1%29)
Now we use that identity in the first equation :
The general solution for a quadratic equation is
We have that:
so, put the numbers in the formula we find:
See more about geometric progress at brainly.com/question/14320920
Answer:
Number of Solutions
Most linear systems you will encounter will have exactly one solution. However, it is possible that there are no solutions, or infinitely many. (It is not possible that there are exactly two solutions.) The word unique in this context means there is a solution, and it's the only one.
Step-by-step explanation:
Hope it helps!
Answer:
I believe it is 6xy
Step-by-step explanation:
This is because we don't know the value of x and y but we know that 9-3 = 6