Part I: Algebraically rotate parallelogram P
A
R
K
counterclockwise
90
°
about the origin. List the coordinates of the image, parallelogram
P
′
A
′
R
′
K
′
. In your final answer, show all of your work.

Part II: Graphically rotate parallelogram
P
A
R
K
counterclockwise
90
°
about the origin. On your graph, label the following:

parallelogram
P
A
R
K
and the coordinates of all four of its vertices
parallelogram
P
′
A
′
R
′
K
′
and the coordinates of all four of its vertices
center of rotation and its coordinate
the invisible circle of rotation, its radius and the length of the radius
use arrows to show the counterclockwise movement of the parallelogram

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

a) 7x=7

step-by-step explanation:

correct answer is b. 27/8

step-by-step explanation: