Find the average temperature on that part of the plane 6x + 5y + z = 7 over the square |x| leq 1, |y| leq 1. where the temperature is given by t(x, y, z) = e^-z . the average value

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

the closest answer i got was 75 divided by 9 = 8.3

8 pages of sport cards 9 sports cards on each page

hope that