book Maths Puzzle Numerical Ability

Find the value(s) of w so that the points (0,3) and (6,w) are 10 units apart.

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book Other Question

Let T be a linear operator on a finite-dimensional vector space V, and let
b (beta) be an ordered basis for V. Prove that l (lamda) is an eigenvalue of T if and only if l (lamda) is an eigenvalue of [T]b (beta). Mrs. Windell spent 1 h addressing one-third of the family Christmas cards, and Mr. Windell spent 1 1/4 h addressing another third. Continuing the addressing together, how long did