Answer:
X = 119, Y = 61, Z = 119
Step-by-step explanation:
These are supplementary angles and equal 180.
180 - 61 = 119
Opposite angles are congruent
cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
Answer:
Pattern: subtract 2 from the input to get the output
When the input is 9, the output is 7
When the input is 13, the output is 11
Step-by-step explanation:
» <u>Application + Solution</u>
To find the pattern, we have to look for common things we notice between the input and output.
- After analyzing, we can surely notice that we subtract two from the input each time to get the output because 3 - 2 = 1, 8 - 2 = 6, 15 - 2 = 13, and 20 - 2 = 18.
Now that we realized the pattern, we subtract 2 from 9 and 13.
Answer:
Pretty sure it's C
Step-by-step explanation:
For inverse functions, I do the opposite operation
the only logical inverse function I see working in this expression would be C
divide the 5 from 5x and add the 3
Also, subtract the f(x) on both sides to get the "- y"
so, you get : 5/x + 3 = - y (f(x) is just "y")
Answer:
no
Step-by-step explanation:
