Which polynomial is in standard form? a)2xy^3 +3x^3 y^4 -4x^4 y^5 +9x^5 y^6 b)8x^5 -5y^4 -2xy^5 + x^2 y c)x^3 y^2 -3x^2 y-9x^4 y^3 +11x d)5x^7 y^2 + 7x^6 y^5 -14x^3 y^7 +51x^2 y^9

d)

Step-by-step explanation:

A polynomial is said to be in standard form if its terms are arranged in order of decreasing degree. That is the first term is of highest degree followed by the second term then the third term and so on. The terms of a standard polynomial are ordered from highest degree to lowest degree.

The polynomial is in standard form because the degree of x are arranged from highest degree to lowest degree.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)