10 points!

find the area of the figure. round to the nearest tenth if necessary. use 3.14 for .

66.2 units²

Step-by-step explanation:

The figure is composed of a rectangle and a triangle

area of rectangle = 9.6 × 4.8 = 46.08 units²

area of triangle = 0.5 × 9.6 × (9 - 4.8) = 0.5 × 9.6 × 4.2 = 20.16 units²

Thus

area of figure = 46.08 + 20.16 = 66.2 units² ( to nearest tenth )

(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