The hanger image below represents a balanced equation. write an equation to represent the image

The equation is

Step-by-step explanation:

we know that

The equation that represent the image is equal to

Solve for r

The required equation is 7=2+r and the value of r is 5 units.

Step-by-step explanation:

In the given hanger, the left side of the hanger has 7 boxes in which each box is of one unit.

The sum of left sides is

The sum of left side is 7.

Right side of the hanger has 2 boxes in which each box is of one unit and pentagon of r units. So, the sum of right side is

It is given that the hanger represents a balanced equation. It means the left sides is equal to the right side. So, the required equation is

Subtract 2 from both the sides.

Therefore the required equation is 7=2+r and the value of r is 5 units.

d

step-by-step explanation:

the two points from this line are   (0,4)   & (2,-2)

we can call

now, lets find the slope (m):

now finding b (the y intercept). this is the point at the y-axis where the line cuts the axis. looking at the graph, it is y = 4. so the point is 4. hence b = 4

the slope-intercept form is given by  

putting the points, we have:

d is the correct answer.