The base of a parallelogram is 4 inches longer than twice the height. The area of the parallelogram is 16 square inches. What is the height?

2 inches

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

Here A = 16 and b = 2h + 4 ( 4 more than twice the height ), thus

16 = h(2h + 4) = 2h²  + 4h ( subtract 16 from both sides )

2h² + 4h - 16 = 0 ( divide through by 2 )

h² + 2h - 8 = 0 ← in standard form

(h + 4)(h - 2) = 0 ← in factored form

Equate each factor to zero and solve for h

h + 4 = 0 ⇒ h = - 4

h - 2 = 0 ⇒ h = 2

But h > 0 thus h = 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.