Answer:
Step-by-step explanation:
= 5(7n + 8) - 2(4n + 6)
Distribute
= 35n + 40 - 8n - 12
Combine like terms
= 35n - 8n + 40 - 12
= 27n + 28
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
we have that
we know that
Triangles ABC and A'B'C' are similar
Step 
Find the distance AB and distance A'B' with the formula
a) distance AB
b) distance A'B'
Step 
Find the scale factor
therefore
the answer is
the scale factor of the dilation is equal to 
Step-by-step explanation:
to find the area of the prism the given formula is,
perimeter× height
To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:
y = 3x + b,
where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:
16 = 3(5) + b
16 = 15 + b
1 = b
Then, we should substitute in this value into our equation and check our work.
y = 3x + 1
If we plug in the other points, this equation yields a true statement, so we know it is correct.
Hope this helps!
