The image of the point (4,-2) under a rotation 180 degrees about the origin is A. (−2,−4) B. (−2,4) C. (−4,−2) D. (−4,2)

D

Step-by-step explanation:

(4,-2) is located in the fourth quadrant and to think about it, if you rotates it 90 degrees clockwise it will be located in the third quadrant and another 90 degrees it will be located in the second quadrant. And the the second quadrant is the opposite of the fourth quadrant so you will have to find the opposite of the numbers. The opposite of 4 is -4 and the opposite of -2 is 2 so you will have the new coordinates (-4,2)

rotating (4,-2) 180 degrees will be (-4,2)

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.