<h2>
Answer</h2>
After the dilation 
around the center of dilation (2, -2), our triangle will have coordinates:
<h2>Explanation</h2>
First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:
→
Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor . Therefore our second partial rule will be:
→
→
Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)
→
→
Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:
Now we can finally draw our triangle:
37k (cost of the materials for each kite) plus 28k (the labor for each kite) plus 6,000=x (the total cost). With this equation you can plug in any number of kites so...
37k+28k+6,000=x Combine like terms...
65k+6,000=x Plug in k...
65(170)+6,000=x Multiply...
11,050+6,000=x Add...
x=17,050
d. Numbers get smaller
as you move to the left on the number line.
And conversely when the
number moves along to the right it increases by interval of typically 1. Why
does this happen? Because this phenomenon is the illustration of how number are
ordered and hierarchical. Integers can better explain the numbers beyond 0. The
existence of the negative numbers which is obviously less in value than the
real numbers 1 , 2 , 3 and so on.
