2. Can a triangle have sides with the given lengths? Explain. 1 ft, 3 ft, 7 ft
a. No, because 7+1>3 contradicts the triangle inequality theorem.
b. Yes, because 1+3<7 satisfies the triangle inequality theorem.
c. Yes, because 7+1>3 satisfies the triangle inequality theorem.
d. No, because 1+3<7 contradicts the triangle inequality theorem.

Suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet.

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters

The graph of f(x) = |x| is transformed to g(x) = |x + 11| - 7. on which interval is the function decreasing?