Answer/Step-by-step explanation:
9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)
Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.
Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.
Answer:
Option b
Step-by-step explanation:
To write the searched equation we must modify the function f (x) = | x | in the following way:
1. Do y = f(x + 4)
This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.
y = | x +4 |
2. Do 
This operation horizontally expands the function f (x) = | x | in a factor of 4 units. 
3. Do 
This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

4. After these transformations the function f(x) = | x | it looks like:

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)

Answer:
s=13
Step-by-step explanation:
s=5q+8
plug in numbers
s=5(1)+8
solve 5*1
s=5+8
solve 5+8
s=13
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly
17.0045249336018 meters tall
Answer: 17.0045249336018Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to