A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides is to be made of a material that costs $3 per foot. The material for the fourth side costs $9 per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be built.

Polygon mnopq is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image m′n′o′p′q′. the coordinates of point m are (2, 4), and the coordinates of point n are (3, 5). the slope of is .

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.