The function, named H(w) is defined by a graph that is a descendant line, that belongs only to the first quadrant. As w approaches to 0 by the right, the function approaches to + infinity. It never touches the vetical axis, decreases and approaches to 0 when w approaches to infinity. The graph never touches the horizontal - axis.
Then, the function is defined only for positive values of w and H(w) is always positive.
Then, the answer is H(w) > 0, this is the option C.
-8x - 2y = -10
8x + 2y = -6
the answer is no solution.
There is a right triangle with the height (4) and half the base (3) as legs and the slant height (x) is the hypotenuse:
4² + 3²= x²
x² = 16+9
x =5 mm