Let a = (−2, 4) and b = (7, 6). find the point p on the line y = 2 that makes the total distance ap + bp as small as possible.

You are looking at two area rugs for your bedroom. one is a square with side lengths of 6.3 feet. the other is a rectangle that is 4.8 feet by 8.2 feet. which rug will cover the greatest area? how much more area will it cover? with work plzz and u so much

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above