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:
19.1628873772
Step-by-step explanation:
50.70500 ÷ 2.64600 = 19.1628873772
<h3>
Answer: (-3, 0)</h3>
Explanation:
Point N is at (1,3)
We apply the rule
which will translate the point 4 units to the left and 3 units down.
The old x coordinate x = 1 becomes x-4 = 1-4 = -3
The old y coordinate y = 3 becomes y-3 = 3-3 = 0
The point N(1,3) moves to N ' (-3, 0)
The 3rd selection is appropriate.
.. 5b +1 = a = 3b +5
by the transitive property of equality,
.. 5b +1 = 3b +5
To determine the correct statement in the choices presented, we first have to solve the area of the tray. We assume it to be in a rectangular form so the area is:
Area = 10 in x 10 in x 7/2.54 in = 275.59 in³ for the paint tray
1 gallon paint = 231 in³ paint
Therefore, the correct answer is the first option. <span>The paint will not fill the tray by 44.59 in</span>³<span>.</span>