4.2-1.6=2.6 miles
the length of the trail minus how far he's already traveled is the distance he has left to go.
Simple....
you have:
4x+3y≤-12
To solve for X or Y just isolate the variable....
4x+3y≤-12
-3y -3y
4x≤-3y-12
Now divide by 4....
![\frac{4x}{4} \leq \frac{-3y-12}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%7D%7B4%7D%20%20%5Cleq%20%20%5Cfrac%7B-3y-12%7D%7B4%7D%20)
![x \leq -\frac{3y}{4} -3](https://tex.z-dn.net/?f=x%20%5Cleq%20%20-%5Cfrac%7B3y%7D%7B4%7D%20-3)
Now for y:
4x+3y≤-12
4x+3y≤-12
-4x -4x
3y≤-4x-12
Divide by 3...
![\frac{3y}{3} \leq \frac{-4x-12}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3y%7D%7B3%7D%20%20%5Cleq%20%20%5Cfrac%7B-4x-12%7D%7B3%7D%20)
![y \leq -\frac{4x}{3} -4](https://tex.z-dn.net/?f=y%20%5Cleq%20%20-%5Cfrac%7B4x%7D%7B3%7D%20-4)
This is the way to solve it.
Thus, your answer.
Answer:
if im not wrong the answer should be 1
Answer:
The dilation is twice the original form
Step-by-step explanation:
Given
Original Triangle = ABC
Dilated Image = A'B'C'
Required
Relationship between both
From the attached diagram;
![AC = 5](https://tex.z-dn.net/?f=AC%20%3D%205)
![A'C' = 5 + AC](https://tex.z-dn.net/?f=A%27C%27%20%3D%205%20%2B%20AC)
This implies that
![A'C' = 5 + 5](https://tex.z-dn.net/?f=A%27C%27%20%3D%205%20%2B%205)
![A'C' = 10](https://tex.z-dn.net/?f=A%27C%27%20%3D%2010)
The relationship between a dilated image and its original form is;
![Dilation = Scale\ factor * Original\ form](https://tex.z-dn.net/?f=Dilation%20%3D%20Scale%5C%20factor%20%2A%20Original%5C%20form)
Using AC and A'C';
Such that A'C" is the Dilation image of AC
![A'C' = Scale\ factor * AC](https://tex.z-dn.net/?f=A%27C%27%20%3D%20Scale%5C%20factor%20%2A%20AC)
Replace AC an A'C' with their lengths
![10 = Scale\ factor * 5](https://tex.z-dn.net/?f=10%20%3D%20Scale%5C%20factor%20%2A%205)
Divide both sides by 5
![\frac{10}{5} =\frac{ Scale\ factor * 5}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B5%7D%20%3D%5Cfrac%7B%20Scale%5C%20factor%20%2A%205%7D%7B5%7D)
![\frac{10}{5} =Scale\ factor](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B5%7D%20%3DScale%5C%20factor)
![Scale\ factor = \frac{10}{5}](https://tex.z-dn.net/?f=Scale%5C%20factor%20%3D%20%5Cfrac%7B10%7D%7B5%7D)
![Scale\ factor = 2](https://tex.z-dn.net/?f=Scale%5C%20factor%20%3D%202)
Hence, the dilation is twice the original form