Answer:
3.71 cm
Step-by-step explanation:
Hi there!
Area of a circle equation:
where r is the radius
Plug in the area 43.25 cm²

Divide both sides by π to isolate r²

Take the square root of both sides to isolate r

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.
I hope this helps!
WE need to complete the square on the x and y terms:-
25x^2 - 100x - 9y^2 - 90y = 350
25(x^2 - 4x + ) - 9(y^2 + 10x ) = 350 + 25( ) - 9( )
25(x^2 - 4x + 4 ) - 9(y^2 + 10x + 25) = 350 + 25(4) - 9(25)
25(x - 2)^2 - 9(y + 5)^2 =
25(x - 2)^2 - 9(y + 5)^2 = 225
---------------- -------------- --------
225 225 225
( x - 2)^2 (y + 5)^2
------------- - -------------- = 1 Answer
9 25