Answer:
a^2 + b^2 = c^2 (pythagorean theorem)
a^2 + 40^2 = 41^2 (plug in the known values)
a^2 + 1,600 = 1681 (simplify what you can)
a^2 = 81 (subtracted 1600 from both sides)
a= (81 under a radical) (I think this is what your answer will be, based on the problem)
a=9 (what the fully simplified answer is)
<span>(4d-4)(3d-2)=12d^2 + []d + 8
Using FOIL method:
4d x 3d = 12d^2
4d x -2 = -8d
-4 x 3d = -12d
-4 x -2 = 8
Adding common terms, we have:
-8d + -12d = -20 d
The missing coefficient is -20.</span>
