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.
Scientific Notation is the way of <u>writing a number or expressing them</u> in a <u>shorter or more compact way.</u>
No, <u>Taylor's resoning is incorrect</u> because 2,800,000 = 
From the question, we are given:
2,800,000 .
2,800,000 in scientific notation is .
The reason the power is not to the negative 6 is that we are moving from the right-hand side to the left-hand side 6 times.
Therefore, <u>Taylor's reasoning is incorrect. </u>
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Answer:
9(p + q)(9p + 9q - 1)
Step-by-step explanation:
Given
81(p + q)² - 9p - 9q ← factor out - 9 from these 2 terms
= 81(p + q)² - 9(p + q) ← factor out 9(p + q) from each term
= 9(p + q)(9(p + q) - 1)
= 9(p + q)(9p + 9q - 1)
Answer:
By sum interior angle of triangle is equal to third exterior angle hence
z = x + y
No find x and y
Sum triangle is 180 degree
Answer:
For 2 months
Step-by-step explanation:
Let after x months the cost of each health club is same,
Now, In club A,
Membership fees = $ 19,
Monthly fees = $ 21,
So, the total fees for x months = membership fees + total monthly fees for x months
= 19 + 21x
In Club B,
Membership fees = $ 23,
Monthly fees = $ 20,
So, the total fees for x months = membership fees + total monthly fees for x months
= 23 + 20x
Thus, we can write,
19 + 21x = 23 + 20x
21x - 20x = 23 - 21
x = 2
Hence, for 2 months the total cost of each health club would be same.
