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.
[ 1 ] Given
[ 2 ] Exterior Sides Opposite Rays
[ 3 ] Definition of Supplementary angles
[ 4 ] First substitution
[ 5 ] Subtraction Property of Equality
[ 6 ] Second Substitution
[ 7 ] If corrsp. equal, the lines ||
Step-by-step explanation:
Given binomial is:

Answer: a constant
Step-by-step explanation:
A constant is a numerical expression like 2, 0,78 etc .
A variable is a alphabetical expression that vary like a,b,c,d,x,y,z.
An expression can consists of both numerical and alphabets and also any arithmetic expression like x, 2abc, 6a+2c etc
A term consist of either numbers and variables multiplied together or only numbers or variable like 2xy, x, 2ab etc.
X is all (a term, a variable , an expression) except a constant because a constant is a numerical expression.