Answer: 
Step-by-step explanation:
For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.
Then, to find an angle α, this is:
In this case, you can identify that:
Then, substituting values into and evaluating, you get that the measure of the angle "C" to the nearest degree, is:
No, it is not a function, since 6 is repeating itself and the x should never repeat if it’s a function.
Answer:
5/9
Step-by-step explanation:
Let the denominator be x and numerator be y.
Given, numerator is 4 less than denominator
=> y = x - 4 ...(1)
When 5 is added to both:
Numerator = y + 5 , and, denominator = x + 5
Now their ratio is 5/7.
=> (y + 5)/(x + 5) = 5/7
=> 7(y + 5) = 5(x + 5)
=> 7y + 35 = 5x + 25
=> 7y - 5x = 25 - 35
=> 7(x - 4) - 5x = -10 {y=x-4}
=> 7x - 28 - 5x = -10
=> 2x = 18
=> x = 9
Thus,
Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9
Answer:
f(x) + g(x) = x + 20
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 6x - 4
g(x) = -5x + 24
<u>Step 2: Find f(x) + g(x)</u>
- Substitute in functions: f(x) + g(x) = 6x - 4 + (-5x + 24)
- Combine like terms (x): f(x) + g(x) = x - 4 + 24
- Combine like terms: f(x) + g(x) = x + 20
