Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7). Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

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Step-by-step explanation:

Point (-7,-2) is the center of dilation. The scale factor is 2.

If point A has coordinates (-3,-2), then its image point H has coordinates (1,-2).

If point B has coordinates (-6,2), then its image point E has coordinates (-5,6).

If point C has coordinates (-4,3), then its image point F has coordinates (-1,8).

If point D has coordinates (-1,1), then its image point G has coordinates (5,4).

(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

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: