Answer:
D=2.82
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under

Where


 
Replacing these values in the distance formula





 
Hence the Distance is 2.82 units
 
        
             
        
        
        
Number 16 is 13.5 because each half triangle is 1 unif square
        
             
        
        
        
Substitution doesn't work for this, but elimination does. 
-6x-8y=-20 +6( x+6y=-6)
-6x-8y=-20 + 6x+36y=-36
-6x and 6x cancel each other, add -8 and 36 to get 28, and -20 and -36 to get -56.
28y=-56
divide by 28 on both sides.
Y= -2
Then substitute y into one of the equations.
x+6(-2)=-6
x-12=-6
x=6
The ordered pair is (6,-2).
 
        
                    
             
        
        
        
1st one: linear
2nd one: linear
3rd one: nonlinear
        
                    
             
        
        
        
Answer:
y = 2x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2 
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
To find c substitute (5, 3 ) into the partial equation
3 = 10 + c ⇒ c = 3 - 10 = - 7
y = 2x - 7 ← equation of parallel line