AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.
We are given the coordinates of points A and B, using which we can find the equation of the line for AB.
Slope of AB will be:

Using this slope and the point (2,1) we can write the equation for AB as:

The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.
Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:
y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11
Point C lies on the line  y = 6x - 11. So if the y-coordinate of C is 13, we can write:
13 = 6x - 11
24 = 6x
x = 4
The x-coordinate of point C will be 4.
Therefore, the answers in correct order are:
4/3 ,  6,  -11,  4
 
        
        
        
Answer:
let t be tickets and b be beverages
Step-by-step explanation:
16t + 3b = 1900
 
        
             
        
        
        
This is the answer...hope i helped
 
        
        
        
Answer:
5.6715 * 10^26 kg
 
Step-by-step explanation:
Given that :
Mass of earth = 1/95 the mass of saturn
If Mass of earth = 5.97 x 10^24 kg
Let the mass of saturn = x
5.97 x 10^24 kg = 1/95 * x
5.97 x 10^24 kg = x / 95
x = 95 * 5.97 x 10^24 kg
x = 567.15 * 10^24
x = 5.6715 * 10^26 kg
Mass of saturn = 5.6715 * 10^26 kg
 
        
             
        
        
        
Equals 4^6
You add up the exponents as the base is same