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: 
we are given
airthematic sequence
we can use nth term formula
n is number of terms
an is nth term
d is common difference
a1 is first term
We are given
a7=40
we can use it
a18 = 106
we can subtract both equations
now, we can find a1
we can plug d=6
12th term:
now, we can plug values
so, 12th term is 70...........Answer
Answer: 8/16
Step-by-step explanation: Half of the numbers are odd, half of the others as even, so 8/16, which is half of the numbers.
Answer: each book costs $13
Step-by-step explanation:
dividing 65 by 5 gets the answer
Answer: -3/2
Explanation: Start from -3 and go over 2 then where u stopped go down 3 from there and over 2 again and u will get -3/2
