Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. Which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4? (5x−2)+(3x+1); 31 centimeters (5x−2)+(3x+1); 36 centimeters 2(5x−2)+2(3x+1); 62 centimeters 2(5x−2)+2(3x+1); 70 centimeters

Given:

Length of rectangle (l) = (5x - 2) cm

Width of rectangle (w) = (3x + 1) cm

To Find:

Perimeter of rectangle

Step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

positive

step-by-step explanation:

the quadrant is facing upwards