Subtract the polynomials:
2x^2−3xy+4y^2 from 3x^2−5xy−6y^2

x² - 2xy - 10y²

Step-by-step explanation:

(3x² - 5xy - 6y²) - (2x² - 3xy + 4y²)

3x² - 5xy - 6y² - 2x² + 3xy - 4y² (remove parentheses)

3x² - 2x² - 5xy + 3xy - 6y² - 4y²  (Arrange to solve more easily)

x² - 2xy - 10y²

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

i believe that the answer is

b. y-1=-2(x-4)

hope this !