Find the sum of −9x^2 −4x −1 and 5x +10.

To find the sum of −9x^2 −4x −1 and 5x +10, we need to add the coefficients of like terms.

The sum of the x^2 terms is -9.
The sum of the x terms is -4 + 5 = 1.
The sum of the constant terms is -1 + 10 = 9.

Therefore, the sum of −9x^2 −4x −1 and 5x +10 is -9x^2 + x + 9.