we are given two points as
(3, 16) and (5, 10)
firstly , we will find slope
slope is m
so, we can use formula
now, we can plug points
we can plug it in y=mx+b
we get
now, we can select any one points
and find b
(3,16)
x=3 and y=16
we can find b
now, we can plug back b
and we get
so, equation is
and
...............Answer
Since ABCD is a parallelogram, the opposite sides will be parallel and equal,
Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,
So by the ASA criteria, the triangle AED is congruent to the triangle CEB,
Then the corresponding parts of the triangles will be equal,
Hence Proved.
Given cost function is
c(x) = (20 ≤ x ≤ 400)
where x is the number of thousands of square feet
total revenue will be $0.2 million dollars per thousand square feet
Revenue is 0.2 millions per thousand square feet. we know x is the number of thousand of square feet
So R(x) = 0.2x
We know Profit = Revenue - Cost
P(x) = R(x) - C(x)
combine like terms
Profit function is