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.
The answer is the third answer choice, I and II only.
This is because both of those motions are rigid since they are just reflections and III is not a rigid motion since it is a dilation, the second triangle is bigger than the first.
Hope this helps!
Answer:
B
Step-by-step explanation:
I think B is right because it's only on one day so that one day could have way more kids than usual or way less.
Answer:
A,D,E,G=83 B,C,F=97
Step-by-step explanation:
Answer:
<u>The correct answer is the letter C. </u>
Step-by-step explanation:
We can use the following trigonometric identity:
(1)
(2)
Solving each equation by b and equaling we have:
Let's recall that:
Then we have:
Using equation (1) we can find b.
Finally, we can find a using the next equation:
<u>Therefore, the correct answer is the letter C. </u>
I hope it helps you!
