Ah plz idk how to do ! lara starts from the school, which is 5 miles west and 7 miles north of the house. she travels 20 miles south, and then 15 miles east. what is her final position? what single translation vector moves her from her starting position to her final position? 1. (10, −13); (15, −20) 2. (−5, 13); (10, −13) 3. (15, −20); (5, −7) 4. (−5, 7); (5, −2) a truck starts from a warehouse, which is 8 miles south and 3 miles west of the town center. the truck travels 3 miles north, makes a right turn, and then travels for 4 miles. what is the truck’s final position? what single translation vector moves the truck from its starting position to its final position? 1. (0, −4); (3, 4) 2. (7, −5); (4, 3) 3. (1, −5); (4, 3) 4. (−3, −8); (1, −5)

50 plz, given the system of equations, match the following items. x + 3 y = 5 x - 3 y = -1 a) x-determinant b) y-determinant c) system determinant match the following to the pictures below.

Melissa is purchasing a $160,000 home and her bank is offering her a 30-year mortgage at a 4.9% interest rate. in order to lower her monthly payment, melissa will make a 20% down payment and will purchase 3 points. what will her monthly mortgage payment be? a. $645.98 b. $650.46 c. $662.93 d. $606.69

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?