Let v1 = -4 , v2 = -1 , v3 = 1, and H = Span{v1, v2, v3}. { -1 } { 1 } { -5 } 2 -2 2Note that v3 = 2 v 1 - 3 v 2. Which of the following sets form a basis for the subspace H, i. e., which sets form an efficient spanning set containing no unnecessary vectors?a) {v1, v2, v3}b) {v1, v2}c) {v1, v3}d) {v2, v3}

Find the greatest common factor of the followig monomials 46g^2h and 34g^6h^6

Thomas is using a drawing program to complete a construction. which construction could he be completing? two perpendicular lines are drawn. inscribing an equilateral triangle in a circle inscribing a square in a circle inscribing a regular pentagon in a circle inscribing a regular hexagon in a circle

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet