Find 2u if vector u has initial point of (2,-1) and terminal point (3,1)

2u = (2,4)

Step-by-step explanation:

Given that

Initial Point of vector = P1 = (2,-1)

Terminal point of vector = P2 = (3,1)

When the initial and terminal points of vector are given. The vector can either be directly found by using P2-P1 or the unit vectors i and j can be used.

So,

Now we have to find 2u

So,

Hence,

2u = (2,4)

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

x/3-10=8

x/3=18

x=48