Answer:
it would be 1.09x10^4
Step-by-step explanation:
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.
-35 is greater because they are both negative, the number CLOSEST to 0 is greater
Write the ratio out.
Number of hands Betty won : Number of hands Adam won
5:20
Both can be simplified by the common factor of 5.
1:4 is the solution.
Answer: The answer is y = 4/5x + 8.
Step-by-step explanation:
There is good reasoning behind why this is the answer. First, if you recall, parallel lines must have the same slope or they will at some point meet. With this information, you can pull from the given material that the slope for the equation you are trying to gather is 4/5.
Then, you can use the given point to find the y-intercept because the x-coordinate is 0 (directly on the y-axis) and your y-coordinate is 8. Your y-intercept is placed as a positive or negative value at the end of the equation (if in slope-intercept form), and because the 8 in the ordered pair is positive, you just need to add +8 to your equation.
With this information, you can conclude that the equation is y = 4/5x + 8.