- Let (X,dx) be a metric space and x in X. Show that f: X->R given by f(a)=dX(a,x) is continuous.?

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I have a math final today. Any advice? How do Gears work in a simple wall clock ? How do they transmit power to the arms of clock keeping their motion according to time ? What will happin if i told my docter that i will kill my self? Find the values of k for which the equation has two equal real solutions: x^2 + ( k - 1 )x + 1 *I got k= +/- 2* but that s wrong? Complete the proof will give best answer?