Answer:
3
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)
d = 
    = 
    = 
    = 
    = 3
 ← exact value
    ≈ 6.71 ( to 2 dec. places )
 
 
        
             
        
        
        
Answer:
1)y=-3+5x 
2)y=5/2-1/2x
Step-by-step explanation:
for both equations
1) get your y by it self (subtract -5x and your new equation is now -y=-5x+3)
2)(reminder y can't be negative if it is negative) then you divide by -1 of both sides
3) your equation should now be y=5x-3
 
        
             
        
        
        
Answer:
For each statement say if they are true or false
Step-by-step explanation:
That's the answer if you wanted to know what it meant. 
Hope that helps
 
        
             
        
        
        
Answer:
4951 students
Step-by-step explanation:
If there was 99 students from each state, that would make the total to be:
99 * 50 = 4950
We can use the pigeon hole principle to make this the minimum number required.
The pigeon hole principle basically tells us that if you have more "pigeons" than "holes" then there must be one hole with multiple objects in it.
So, using this idea, we see that:
we need at least 1 more to ensure this
So, min number required would be 
4950 + 1 = 4951
 
        
             
        
        
        
Answer:
34 degrees.
Step-by-step explanation:
Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.
Drop the parentheses and get 7x - 8 = 90.
Add 8 to both sides 7x = 98.
Divide both sides by 7, x = 14.
Plug that x value into (3x-8), [3(14)-8] = 34 degrees.