Find the third side in simplest radical form:

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)

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )