metric space is a set M together with a distance function ρ(x,y) that represents the distance" between elements a and y of the set M. The distance function must satisfy ) plz,y)20 and plr,y) 0 if and only if y: (ii) p(x,y) o(y,z); (iii) p(z, y) a(x, z) +a(z, y) for all x, y, z in M. Let (M.p) be a metric space. A mapping T from M into M is called a contraction if for some constant a with 0 sa<1, and all a and y in M I. Prove that the real line R becomes a metric space if we define a distance ρ(x, y) between real numbers a and y by Here, your objective is to show that p(z. g) satisfies the three conditions (i), (), and (ii) above. You may assume without proof the "triangle" inequality for the absolute value function for all a, b in R

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The length of a rectangle is three inches more than the width. The area of the rectangle is 130 inches. Find the width of the rectangle. O A. 10 in O B. 5 in OC. 7 in O D. 13 in Click to select your answer. Type here to search ip