Answer:
t+4, t≠8
Step-by-step explanation:
The value of t must not be one that makes the denominator zero, hence must not be 8.
The answer is for the value of y-coordinate is -5
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,
5:9 is just 5/9
Hope this helps!
