Subtract −5x^2 −9x+8 from -6x^2+5

-(x^2 - 9 x + 3)

Step-by-step explanation:

Simplify the following:

-(-5 x^2 - 9 x + 8) - 6 x^2 + 5

Factor -1 out of -5 x^2 - 9 x + 8:

--(5 x^2 + 9 x - 8) - 6 x^2 + 5

(-1)^2 = 1:

5 x^2 + 9 x - 8 - 6 x^2 + 5

Grouping like terms, 5 x^2 - 6 x^2 + 9 x - 8 + 5 = (-6 x^2 + 5 x^2) + 9 x + (5 - 8):

(-6 x^2 + 5 x^2) + 9 x + (5 - 8)

5 x^2 - 6 x^2 = -x^2:

-x^2 + 9 x + (5 - 8)

5 - 8 = -3:

-x^2 + 9 x + -3

Factor -1 out of -x^2 + 9 x - 3:

 -(x^2 - 9 x + 3)

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c