A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon.

The perimeter of the polygon is __ units.

6units

Step-by-step explanation:

Since it is a regular polygon, and it has 3 equal sides it means the polygon is a quadrilateral.

From the diagram,

5 - 2x = -4x + 9 ( side of quadrilateral )

Solving for x in the equation

-2x + 4x = 9 - 5 ( collection of like terms in simple linear equation )

2x = 4

Divide through by the coefficient of x which is 2

x = 2.

Therefore, the perimeter of the polygon which equals to the total length of the polygon is

Perimeter = 2 + 2 + 2

= 6units

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.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1