Write the ratio in lowest terms with whole numbers in the numerator and denominator.
1 answer:
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Answer:
First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:
Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:
We can factor out 3^2 = 9 from both equations:
We know from a trigonometric identity that , meaning we can reduce the equation to:
And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.
Hope this helped you.
Answer:
Winchester Heights Middle School plan to have 385 students in the upcoming school year.
Step-by-step explanation:
Total number of students in the seventh grade at Winchester Heights Middle School = 350
For the upcoming school year, they are planning to increase the number of seventh graders by 10%.
Rate of increase = r = 10% = 0.1
Formula :
Where = initial population = 350
r = rate of increase =0.1
N(t)=Population after t years
t = time in years
So, Population after 1 year =
Hence Winchester Heights Middle School plan to have 385 students in the upcoming school year.