Ab has endpoints at (20, 10) and (20, - 10). which of the following graphs illustrates a rotation of ab 270 about the origin?

" Using notation, rotate the point (3, -5) about the origin 270 degrees.' Since the rule for a 270 degrees rotation is (x, y) → (y, -x), the new point would be (-5, -3) "

AB has endpoints at (20, 10) and (20, - 10).

i.e. coordinates of A are (20,10)

and coordinates of B are (20,-10).

After rotating the line AB 270° about the origin the new coordinates will be:

i.e. A(20,10) is transformed to A'(10,-20)

and B(20,-10) is transformed to B'(-10,-20).

Hence we can represent this transformation with the help of the figure attached to the answer.

the solution is 12x-6y

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.