Answer:
g(x) is shifted 5 units to the right and 2 units up
Step-by-step explanation:
We know that the translations equation is:
f(x) = 
The denominator is responsible for the translation on the x-axis, and (k) is responsible for the translation on the y-axis.
Take that (x) is always lying, and lies about the positive and negative sign in the denominator. So whenever we see a sign we take its opposite. In this case we have :

Now that we know x is lying, we will take the translation of the denominator as 5 units to the right. After the fraction is over we have a +2, so we know that there is a translation of 2 units up.
Hope this helped......
Answer: 5:45
Step-by-step explanation:
Subtract 7:35 by 1:50
Answer: 2,500 people per square mile
Step-by-step explanation:
Population density is calculated by : Population / square miles
Therefore :
Population density = 400,000/160
= 2,500
If you plot the points you will find you have to use the distance formula. Pick out 2 pairs label them (x1,y1) (x2,y2) then plug it into the distance formula. The repeat for the other sides. So you should get (2,5) (4,3) plug into distance formula what is get it distance between those two points, then (4,3) (-2,-1) plug into distance formula to get an answer, lastly (-2,-1) (2,5) plug in. Now you have three answers add all together and here is your perimeter of a triangle.
To solve this problem you must apply the proccedure shown below:
1. You know that the sum of the angles is
degrees. Therefore, you must sum them and solve for
:

degrees
2. Therefore, the angles are:
degrees
degrees
The answers are:
degrees
degrees,
degrees,
degrees,
degrees