Answer :
the standard form of the equation -9x²+25y²-100y = 125 is x²/25 + (y-2)²/9 = 1
Add 125 to both sides of the equation.
-9x²+25y²-100y = 125
Complete the square for 25y²-100y
25(y-2)²-100
Substitute 25(y-2)²-100 for 25y²-100y in the equation
-9x²+25y²-100y = 125
-9x²+25(y-2)²-100 = 125
Move −100 to the right side of the equation by adding 100 to both sides.
-9x²+25(y-2)² = 125 +100 = 225
Divide each term by 225 to make the right side equal to one.
-9x²/225 +25(y-2)²/225 = 225/225
Simplify each term in the equation in order to set the right side equal to 1. The standard form of an ellipse or hyperbola requires the right side of the equation to be 1.
x²/25 + (y-2)²/9 = 1
To know more about the standard form visit: brainly.com/question/29000730
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