Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure? (–4, –4), (–4, –1), (–1, –4), (–1, –1) (–2, –4), (–1, –1), (1, –1), (2, –4) (1, 1), (2, 4), (5, 4), (4, 1) (1, 4), (2, 1), (5, 1), (4, 4)

(1,4) (2,1) (5,1) (4,4)

Step-by-step explanation:

The options are:

(-4,-4) (-4,-1) (-1, -4) (-1,-1)

(-2,-4) (-1, -1) (1,-1) (2, -4)

(1,1) (2,4) (5, 4) ( 4,1)

(1,4) (2,1) (5,1) (4,4)

The only one which has two sides with negative slopes is the last one.

Slope of the side that passes through  (1,4) and (2,1): (4 - 1) / (1 - 2) = -3

Slope of the side that passes through  (4,4) and (5,1): (4 - 1) / (4 - 5) = -3

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step-by-step explanation:

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.