The diagram shows a triangular prism. The base ABCD, of the prism is a square of side 14cm. Angles ABE and CBE are right angles. Angle EAB=32degrees M is the point of DA such that DM:MA=3:4 Calculate the size of the angle between EM and the base of the prism. Give your answer to 1 decimal place.

What is the rate of change of a line that passes through (2,-5) and (6,-2)?

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry. how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.

Using elimination, what is -4x+2y=-12 4x+8y=-24