8. A rectangle has a width of 5 inches and a length of 7 inches. If both its length and width were increased by x inches, what is
the area of the new rectangle?
F. 2x + 12
G. 2x + 24
H. x? + 35
J. x2 + 12x + 12
K. x2 + 12x + 35

MARK AS BRAINLIST

Step-by-step explanation:

w=5 L=7

w=5+x. L=7+x

A = w*L

= (5+x)* (7+x)

=35+5x+7x+x^2

=x^2+12x+35

(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