Answer:
y = sin(x- pi/2)
Step-by-step explanation:
Please see the attached image to see your graphs.
By simple inspection we can see that the sine is shifted pi/2 to the right. 
We know this because sines are periodic functions with a period T = 2*pi
We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.
And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.
 
        
             
        
        
        
Answer:
Are the two triangles below similar?
Triangles ABC and DEF are shown. Angle A measure 30 degrees, angle C measure 65 degrees, side AC measures 14, side AB measures
Yes, because there are two pairs of congruent corresponding angles
No, because there are not two pairs of congruent corresponding angles
Yes, because the corresponding sides are proportional
No, because the corresponding sides are not proportional
 
        
             
        
        
        
That’s not enough information to say how long he could do it. He could go slower or faster than her but by how much if so. So it’s not enough info.
        
             
        
        
        
Answer:
The 13th term is 81<em>x</em> + 59. 
Step-by-step explanation:
We are given the arithmetic sequence: 

And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words: 

Find the common difference by subtracting the first term from the second: 

Distribute: 

Combine like terms. Hence: 

The common difference is (7<em>x</em> + 5). 
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form: 

Where <em>a</em> is the initial term and <em>d</em> is the common difference. 
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence: 

To find the 13th term, let <em>n</em> = 13. Hence: 

Simplify: 

The 13th term is 81<em>x</em> + 59. 
 
        
             
        
        
        
Answer:
C 
The line is from -3 to 3 and the circles are closed