The coordinates of a polygon are (2, 3), (4,7), (8,5), and (7,2). if the polygon rotates 90° clockwise about the origin, in which quadrant will the transformation lie? what are the new coordinates?
a)
quad ii; (-2, 3), (-4,7), (-8,5), and (-7,2)
b)
quad iv; (3, -2), (7, -4), (5, -8), and (2, -7)
c)
quad iii; (-2, -3), (-4,-7), (-8,-5), and (-7,-2)
d)
quad iii: (-3, -2), (-7,- (-5, -8), and (2, -7)

B)Quad IV; (3, -2), (7, -4), (5, -8), and (2, -7)

Step-by-step explanation:

The coordinates of a polygon are (2, 3), (4,7), (8,5), and (7,2).

When the polygon rotates 90° clockwise about the origin, then polygon moves to fourth quadrant.

the ordered pair (x,y) > (-y,x)

(2, 3)   > (3,-2)

(4,7)   > (7,-4)

(8,5)  > (5,-8)

 (7,2)  > (2,-7)

Quad IV; (3, -2), (7, -4), (5, -8), and (2, -7)

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18