City a is due north of city b. find the distance between city a (43 degrees 2 prime north latitude) and city b (19 degrees 44 prime north latitude). assume that the radius of earth is 3960 miles.

Using the completing-the-square method, find the vertex of the function f(x) = 2x2 − 8x + 6 and indicate whether it is a minimum or a maximum and at what point. maximum at (2, –2) minimum at (2, –2) maximum at (2, 6) minimum at (2, 6)

Sal is tiling his entryway. the floor plan is drawn on a unit grid. each unit length represents 1 foot. tile costs $1.35 per square foot. how much will sal pay to tile his entryway? round your answer to the nearest cent.

George has seven boxes of five pencils. giulio three boxes of eight pencils. one of the boys arranges all his pencils equally into two groups. was this george or giulio how many are in each group explain