Answer: over the starting point
Step-by-step explanation:
Given:
The equation of a line is:

The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:

For
,




For
,




Divide both sides by 2.


The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then

Using this rule, we get


Similarly,


The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:




Multiply both sides by 2.



Therefore, the equation of the line after the dilation is
.
Answer:

Solution:
According to the Pythagorean Theorem, is that the square of the hypotenuse is equal to the sums of squares of the two legs in which if you take the square root of the sum you are going to get the actual length of the hypotenuse but the two legs are already squared so all you have to do now is sum them and take the square root of it.

9514 1404 393
Answer:
about $171,400
Step-by-step explanation:
William's total monthly debt is ...
$1012.84 +579.13 +250 +300 = 2141.97
On an annual basis, this is ...
12 × $2141.97 = $25,703.64
This will be 15% of (25703.64/0.15) = $171,357.60.
William's new annual salary should be about $171,400 to keep his debt ratio at the recommended 15%.
_____
<em>Additional comment</em>
A debt ratio of 15% is a pretty aggressive target. Most mortgage lenders like to see the "front end" ratio (housing expense) less than 28%, and the "back end" ratio (all debt) less than 36%.