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.
(x²+3x-4)(x-5)
x³-5²+3x²-15x-4x+20
x³-2x²-19x+20
The number will be equal to 11.67.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expression will be formed from the given data. Let the number be x so the expression will be:-
3x - 7 = 28
3x = 35
x = 35 / 3
x = 11.67
Therefore the number will be equal to 11.67.
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Answer:
x= -1 , i(sqrt11) , -i(sqrt11)
Step-by-step explanation:
subtract 11x from both sides
-x^3 - x^2 - 11x = 11
subtract 11 from both sides
-x^3 - x^2 - 11x - 11 = 0
Factor the left side of the equation
- (x - 1)(x^2 + 11) = 0
Set both factors to zero and solve for x
x + 1 = 0 x^2 + 11 = 0
-1 -11
x^2 = -11
x = -1 x = +/- i(sqrt11)
Answer:
you are correct
Step-by-step explanation:
since this was a random sampling, there can be no source of bias.