Part A
<h3>Answer:
h^2 + 4h</h3>
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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.
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Part B
<h3>Answer:
h^2 + 16h + 60</h3>
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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.
<span>Just list all elements that belong both to A and to B
A ∩ B = {6,12}</span>
The table is
x | 4 | 8 | 12
y | 1 | 2 | 3
The question is not understandable. The well-formatted question is
Complete the table for the given rule
Rule:

Table:
x | 4 | 8 | 12
y | ? | ? | ?
Evaluation of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the provided number to replace the expression's variable before applying the sequence of operations to simplify the expression.
For instance
On evaluation of y= x+7 when x=3, and x=12
we get y(3) = 3 + 7 = 10 and y(12) = 12 + 7 = 19
The given equation is

So, the table is
x | 4 | 8 | 12
y | 1 | 2 | 3
Learn more about evaluation here-
brainly.com/question/14677373
#SPJ10
You got to use the formula provided to solve the problem! Have confidence! you can do it!