Answer: Ix+10I
Step-by-step explanation: To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).
So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|
We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.
Answer:
The coordinates of 8i on the a complex plane are
(0, 8i)
Answer:
Simplifying the expression:
we get 
Step-by-step explanation:
We need to simplify the expression: 
First we will solve terms inside the bracket

Converting mixed fraction
into improper fraction, we get: 
Replacing the term:

Now, taking LCM of: 5,3,4,2 we get 60
Now multiply 60 with each term inside the bracket

Now, combine like terms

Now, multiply all terms with 2

So, Simplifying the expression:
we get 
Base = 5 * 12 = 60 in^2
Height = 4 in
Perimeter is the sum of all straight
Perimeter = 20 + 16 + 48
Perimeter = 84 in
Perimeter of base = 12 * 2 + 5 * 2 = 34