Recent content by avyunker

Points on the same line have two different coordinate systems: P and Q. The corresponding coordinates are denoted by small letters p and q. The two systems are related by a conversion formula q=sp+t. The point with P-coordinate -52 has Q-coordinate 634. The point with P-coordinate -4 has...

Assume that you are given a coordinate change on a line which changes the coordinate x to a new coordinate z given by the formula z=U⋅x+P where U,P are real numbers with U non zero. If the new coordinate of the point -13 is 12 and the new coordinate of the point -7 is 6 then we must have U= ...

The transformation T maps the plane onto itself by multiplication by a complex number. That is, there is a complex number C=a+ib such that for any point P(x,y), T(P) is the point corresponding to the complex number C⋅P. For a particular complex number C the transformation T takes the smaller...

For the purposes of this problem we make the assumption that 5 miles is exactly 8 kilometers. Two towns, Aville and Btown are situated in different countries and are connected by a road that is 150 miles long. The border is 25 miles from Btown. People of Aville use the metric system of...