It can go 6.8 times
Good luck! :D
You meant to say x^2 - 49 and the second binomial is x^2 - 16.
x^2 - 49 = (x - 7) (x + 7).
Set each factor to 0 and solve for x individually.
x - 7 = 0
x = 7
x + 7 = 0
x = -7
Do the same for x^2 - 16.
Here is the set up:
x^2 - 16 = (x - 4) (x + 4).
Take it from here.
Cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12
tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5
2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26
sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26
sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5
Answer:
-338
Step-by-step explanation:
So we have the sequence:
5, -2, -9, -16...
First, note that this is an arithmetic sequence.
This is because each individual term is the previous term <em>added</em> by a common difference.
We can see that this common difference is -7, because each subsequent term is 7 <em>less</em> than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.
So, to find the 50th term, we can write an explicit formula for our sequence.
The standard form for the explicit formula for an arithmetic sequence is:

Where a is the initial term, d is the common difference, and n is the nth term.
We can see that our initial term a is 5. And we also already determined that the common difference d is -7. So, substitute:

Now, to find the 50th term, all we have to do is to substitute 50 for n. So:

Subtract within the parentheses:

Multiply:

Subtract:

So, the 50th term is -338.
And we're done!
Answer: 175%
Step-by-step explanation:
7/4 x 100 = 1.75