Part a
given that p=(5,4), q=(7,3), r=(8,6), and s=(4,1), find the component form of the vector pq+4rs.
a.(18,19)
,-6)
,-21)
,-19)

part b
use the information from part a to find the magnitude of the vector pq+4rs.
a. 2sqrt10
b. 7sqrt13
c. sqrt35
d. 637

Step-by-step explanation:

The given points have coordinates; P=(5,4), Q=(7,3), R=(8,6), and S=(4,1).

The correct answer is C

The magnitude is given by:

The correct answer is B

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

cause it equals more