exam Maths Puzzle Numerical Ability

Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your stating point?

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The Conic Sections, Sequences and Series

Problem: The moon travels an elliptical path with Earth as one focus. The maximum distance from the moon to Earth is 405,500 km and the
Can you help me tonight with this problem?

Find all positive values for k for which each of the following can be factored.

x^2 + x - k

Thanks for your help.