The trigonometric function that can be used to find the value of x is 12 / tan ( 25 ) . The correct values of a and b will be 12 and 25 resp . .
Given :
A right angle triangle , one angle = 25 ° and side opposite given angle = 12 units .
Trigonometric Formula for Tan θ
tan θ = perpendicular / base , tan θ = ( sin θ / cos θ ) , tan θ = ( 1 / cot θ ) .
where θ = 25 , perpendicular = 12 , base = x .
Substituting values in above first formula ,
tan 25 = 12 / x
Therefore , x = 12 / tan ( 25 ) .
Hence , a = 12 and b = 25 .
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Answer:
g(x) = (x + 6)^2 - 5
Step-by-step explanation:
To translate f(x) to the left by 6 units, replace x with x+6.
To translate f(x) down 5 units, replace f(x) with f(x)-5.
Together, these replacements give you ...
... g(x) = f(x+6) -5
... g(x) = (x +6)^2 -5
For this case we have the following expression:

We multiply both sides by: 

We divide both sides by 216:

To divide powers of the same base, we place the same base and subtract the exponents:

Rewriting:

To multiply powers of the same base, we place the same base and add the exponents:

We know that any number raised to zero is 1, 
So, for equality to be true:

Answer:

Answer:
-6x^2+x+8
Step-by-step explanation:
Add -1 and 9 because they are the only like terms
Step-by-step explanation:
2;6 -> 6; -2
4;4 -> 4 ; -4
6;8 -> 8; -6
sorry English isn't my first language so I can't explain it :((