A map has the scale of 1:50000
The distance between two points on the map is 10cm.
Work out the real distance, in kilometres, between the two points.

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

In the xy-plane, if the parabola with equation passes through the point (-1, -1), which of the following must be true?

What are the values of each variable in the diagram below?