4. given subspaces h and k of a vector space v, the sum of h and k, written as h + k is the set of all vectors in v that can be written as the sum of two vectors, one in h and the other in k. in other words, h+k (vh+k, for some he h for some kek show that h+k is a subspace of v.(5 pts)

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

Arestaurant chef made 1 1/2 jars of pasta sauce. each serving of pasta requires 1/2 of a jar of sauce. how many servings of pasta will the chef be able to prepare using the sauce?

Which word in the sentence below is an interrogative pronoun? who is picking us up from school? whousisfrom