Answer:
x=0 y=0
Step-by-step explanation:
multiple the first equation by 2
after subtract equation 2 from 1
after getting x you substitute the value of x in any of the equation for your y
is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
It would be 1 / (x + 2) (x - 4)
