Use the substitution method to solve the system of equations. Is there a unique solution, no solution, or infinitely many soluti
2 answers:
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Answer: 3
Step-by-step explanation:
1. Convert the mixed number to fraction:
- Multiply the denominator of the fraction by the whole number.
- Add the product obtained and the numerator of the fraction.
- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.
Then:
2. Multiply the numerators.
3. Multiply the denominator.
4. Reduce the fraction.
Then:
Answer:
Step-by-step explanation:
You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.
You will find when you look on your trig identity sheet that
so we will make that replacement, getting everything in terms of sin:
Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:
We can factor out the sin(theta), since it's common in both terms:
Because of the Zero Product Property, either
or
Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:
The next equation needs to first be solved for sin(theta):
so
and
Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:
Answer:
Step-by-step explanation:
