Answer:

Step-by-step explanation:
If the point Q that is located two over three the distance from point P to point R, then PQ:QR=2:3.
Use formula to find the coordinates of the point Q:

In your case, P(-2,7) and R(1,0), then

 
        
             
        
        
        
Answer:
Part 19) x=5
Part 20) x=-3
Step-by-step explanation:
Problem 19) Find the value of x so that f(x)=7
step 1
Find the intersection point of the given line in the graph with the line y=7
The intersection point is (5,7)
see the attached figure
therefore
The x-coordinate of the intersection point is the value of x when f(x)=7
x=5
f(5)=7
Problem 20) Find the value of x so that f(x)=7
step 1
Find the intersection point of the given line in the graph with the line y=7
The intersection point is (-3,7)
see the attached figure
therefore
The x-coordinate of the intersection point is the value of x when f(x)=7
x=-3
f(-3)=7
 
        
             
        
        
        
Answer:

Step-by-step explanation:
So we have the expression: 

To simplify, simply combine the like terms. Therefore: 

Further notes: 
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

Now, factor out a y from the three terms: 

Do all the operations inside the parenthesis:

And we moved the y back to the front! 
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!
 
        
                    
             
        
        
        
You multiply like terms first, which means -2/3x*-x. It becomes 2/3x*3y. The coefficient of x is 2/3. The coefficient of y is 3. You can’t combine them because they are not like terms with the variables.
        
             
        
        
        
24) 9/19
27 is a bit tricky for me.. sorry ):
30) On the 7th it will be 1/120 
33) C