If we have 156 beads and we can make one bracelet with 9 beads we divide 156 by 9 and get 17 1/3. since we cannot have 1/3 of a bracelet, we can make 17 bracelets.
F(x) = 2 means that the y intercept is 2 and f(2) means that for every x value you plug in 2.
The value of x from the given parameters is x = -1/7
<h3>How to determine the value of x?</h3>
The given parameters are:
Point E is between points D and F
DF = 18x - 1
DE = 3x + 5
EF = -x - 8
The statement point E is between points D and F, means that
DF = DE + EF
Substitute the known values in the above equation
So, we have:
18x - 1 = 3x + 5 + x - 8
Collect the like terms
So, we have
18x - 3x - x = 5 - 8 + 1
Evaluate the like terms
14x = -2
Divide both sides by 14
x = -1/7
Hence, the value of x from the given parameters is x = -1/7
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Answer:
Step-by-step explanation:
We proceed to simplify the given trigonometric expression into a form with a single trigonometric function:
1) 
Given.
2) 
Definition of addition/Associative and distributive properties.
3) 
/Modulative property
4) 
Compatibility with addition/Existence of additive inverse/Modulative property
5) 
Compatibility with multiplication/Existence of multiplicative inverse/Modulative property/Definition of division
6) 
Inverse trigonometric inverse.
7) 
Result.
By Trigonometry, we know that secant and cosecant functions have the following identities:
, 
(1, 2)
In addition, we know that 
and 
, then the sum of the two trigonometric function abovementioned is:
