Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
Answer:
64
Step-by-step explanation:
So here you're just completing the square. the equation you gave is simply: 
where c is the unknown value we're solving for. Whenever you complete the square, you add (b/2)^2
The reason for this, is because whenever you write a binomial as a perfect square it's in the form: 
and this binomial expands out to become: 
If we write the second term of the binomial as b/2 we get:
which simplifies to:
and as you can see the last term is (b/2)^2, which is why we need to add that part for it to be a perfect square.
So we would need to add (16/2)^2 = 8^2 = 64
This way, we can express it as a perfect square binomial: 
which expands out to: 
Answer:
B
Step-by-step explanation:
sum means addition so n plus 9 would give you the sum of the both
Answer:
11 pt
Step-by-step explanation:
There are 2 pints in one quart. This means that there are 10 pints in 5 quarts, plus 1 would be 11.
Answer:
I think it's
D. AC/GI = BC/HI
Step-by-step explanation:
Angles that are congruent don't necessarily mean they're similar. But this is what I saw that is associated with similarity with triangles.
AC and GI are corresponding sides and BC and HI are corresponding sides as well so, yeah. D.
I think.
I guess.
I don't know.
I didn't pay attention, tbh. LOL
~Pengoon~
