Answer:
D
Step-by-step explanation:
x+4y=8
4x+y=2
add
5x+5y=10
so system is 
x+4y=8
5x+5y=10
 
        
             
        
        
        
KE=1/2mv^2
50000=(0.5)(1000)v^2
v^2=50000/500
v^2=100
v=10 ms^-1
        
                    
             
        
        
        
Answer:
y=1/2x
Step-by-step explanation:
The slope of the line goes up by 1 over by 2 each time or 1/2. (Rise over run)
This can be proven by substituting X and Y for a point on the graph.
y=5, x=10
5=1/2(10)
5=5
 
        
             
        
        
        
Answer:
y = 4/3x - 4
Step-by-step explanation:
to find the equation of a line with 2 points, we use the slope formula which is:

we will use (6,4) as ![x_1[tex] and [tex]y_1](https://tex.z-dn.net/?f=x_1%5Btex%5D%20and%20%5Btex%5Dy_1) and we will use (-3,-8) as
 and we will use (-3,-8) as ![x_2[tex] and [tex]y_2](https://tex.z-dn.net/?f=x_2%5Btex%5D%20and%20%5Btex%5Dy_2) . we plug this into the slope formula:
. we plug this into the slope formula:

-8 - 4 = -12
-3 - 6 = -9
the slope is 
but we can simplify this further by dividing the fraction by -3
-12 / -3 = 4
-9 / -3 = 3
the simplified version of the slope is 
we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope
y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)
4 = 4/3(6) + b < multiply 4/3 x 6
4 = 8 + b < subtract 8 from both sides
-4 = b
our y intercept would be (0,-4)
the equation looks like the following:
y = 4/3x - 4, which is our answer