Answer:
see explanation
Step-by-step explanation:
Using the trig identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x
cos²x = 1 - sin²x
Consider the left side
sin²A - cos²B
= (1 - cos²A) - (1 - sin²B) ← distribute parenthesis
= 1 - cos²A - 1 + sin²B
= sin²B - cos²A
= right side , thus verified
Answer:
g(x) = (x^2 + 2) and f(x) = 8/x.
Step-by-step explanation:
f(g(x)) = y = 8 / (x^2 + 2)
g(x) could be x^2 + 2 and f(x) could be 8/x.
g(x) would replace the x in 8/x.
Answer:
C
Step-by-step explanation:
Th explicit formula of a geometric sequence has the following format:

Where a is the initial term and r is the common ratio.
From the recursive formula, we can see that each subsequent term is multiplied by 13. Thus, the common ratio is 13.
Also, we are given that the first term is 7.
So, substituting these in, we have:

Our answer is C
And we're done!
You would need to change the slope to -6 because perpendicular lines have opposite reciprocal slopes.
To answer this question you need to find the percentage 12 is of 16. To do this you would divide 12 by 16 to get 0.75, then multiply it by 100 to get 75%.