Answer:
35 square units.
Step-by-step explanation:
To find the area of a parallelogram, the formula is the exact same as finding the area of a rectangle. So 7 x 5 is 35.
1) 
The graph of the above equation is attached in the attachment below.
For all the values from negative infinity to -4, the function is positive.
X ∈ (-∞,-4]
2) 
To find the x- intercept, plug y =0



x intercept = (2,0)
To find the y- intercept, plug x=0


Y- intercept = ( 0,3)
3) 
Y- intercept = (0,13)
x- intercept = (13,0)
Area of triangle = 
Area of triangle = 
Area =
sq unit.
4) The graphs of
and
is attached in the attachment below.
The intersection point is ( 5,-3)
5) A = (-3,0)
B = (4,5)
C = (0,-4)
Slope of AB = 
Slope intercept of line 
Where, m is the slope and b is the y- intercept.
Plugging point A and the slope in the y- intercept to find the value of b.


Equation of line AB: 
Slope of BC = 
Plug C = (0,-4)

b=-4
equation of line BC= 
Slope of line AC = 
Equation of line AC = 
Y intercept of AB = 
Area of a rectangle = Length x Breadth
The required area = 500 x 300
= 150000 m^2
X= -b over 2a = --6 over 2×1=3
y=3²-6(3)-7=-16
vertex is (3,-16)
axis of symmetry is 3