Shanique is unhappy with his 3 inch wide frame, so he decides to put a frame with a different width around his canvas. The total area of the canvas and the new frame is given by the polynomial h^2 + 8h + 12, where h represents the height of the canvas. Determine the width of the new frame. Show all of your work and explain why you did each step. Plz help me! Algebra Keystone is killing me

Step-by-step explanation:

Part A

 h^2 + 4h

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h apply the distributive property

The units for the area are in square inches.

Part B

 h^2 + 16h + 60

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) replace h+6 with x

area = xh + 10x distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) plug in x = h+6

area = h^2+6h + 10h+60 distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.