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:
n = -5/13
Step-by-step explanation:
-8+4(1+5n)=-6n-14 (from PEDMAS, expand parenthesis first)
-8+1(4) +5n(4)=-6n-14
-8+4 +20n=-6n-14
-4 + 20n = -6n -14 (add 6n to both sides)
-4 + 20n + 6n = -14
-4 + 26n = -14 (add 4 to both sides)
26n = -14 + 4
26n = -10 (divide both sides by 26)
n = -10/26 = -5/13
For a...
Split the figure into 2 different shapes. We’re gonna split it where the 19 line is. So now you have sort of a square and a rectangle. You need to find the area of each. If the line in bottom is 35 and the rectangle top line is 19, just subtract 19 from 35 and you get the bottom line of your square. Same for the 25 on the left of the whole figure. Do the same with figure band divide where the 7 line is. Find the area of each