exam Maths Puzzle Numerical Ability

applications involving mixtures

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I had recently submitted this question, Given the equation x+ky=3, find k so that its graph has same slope as the graph of 2x+y=5. I get so far; y=mx+b therefore y=-2x+5, slope Could you please help me solve this question: In a right triangle, the length of the hypothenuse is 5 and the length of the legs is 3, determine the tangents of all three angles. Also find the distance between (1,3) and (5,6).

Thank you, very much.