we must do the following:
0
1
2
3
4
5
6
7
8
9
select the major, the minor and the half and add, like this:

therefore:

also:

the groups are:
(9,0,1,5); (7,6,2); (8,4,3)
We have been given a graph of function g(x) which is a transformation of the function 
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of 
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:

but that will disturb the y-intercept (0,1)
if we multiply
by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:

Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
1. ∠SWT ≅ ∠TWU
Given
2. m∠SWT + m∠TWU = 180°
Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180°
Substitution
4. m∠SWT = 90°
Algebra
5.
⊥
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines
and
m∠SWT = 90°, therefore, the lines
and
are perpendicular to each other.
Answer:
C) y = 2x + 3
Step-by-step explanation: You have to substitute 1 for x & 5 for y & 2 for m, but 1st do the point slope form ---> slope intercept form.
y -Y1 = m(x - X1)
y - 5 = 2(x - 1)
y - 5 = 2x - 2
+5 + 5
y = 2x + 3 --- IN SLOPE INTERCEPT FORM
Hope this helps you!!! :)