Answer:
x + 2y = 8.
Step-by-step explanation:
Line goes through (-4, 0) and (4, -4).
The slope is (-4 - 0) / (4 - -4) = -4 / (4 + 4) = -4 / 8 = -1/2.
Since we are looking for the equation of the line parallel to that line, the slope will be the same.
We have an equation of y = -1/2x + b. We have a point at (2, 3). We can then say that y = 3 when x = 2.
3 = (-1/2) * 2 + b
b - 1 = 3
b = 4.
So, we have y = -1/2x + 4.
1/2x + y = 4
x + 2y = 8.
Hope this helps!
Answer:
The value of x is
hours.
Step-by-step explanation:
Machine A = 5 hours
Machine B = x hours
Machine A and B = 2 hours
Using the formula: 
where:
T is the time spend by both machine
A is the time spend by machine A
B is the time spend by machine B

Let multiply the entire problem by the common denominator (5B)

2x + 10 = 5x
Collect the like terms
10 = 5x - 2x
10 = 3x
3x = 10
Divide both side by the coefficient of x (3)

hours.
Therefore, Machine B will fill the same lot in
hours.
Answer:
x= -5
Step-by-step explanation:
3(5x+10)+10=6x-(x+10)
15x+30+10=6x-x-10
15x+40=5x-10
15x-5x=-10-40
10x=-50
x=-5
5d + 2(2 - d) = 3(1 + d) + 1
5d + 2(2) - 2(d) = 3(1) + 3(d) + 1
5d + 4 - 2d = 3 + 3d + 1
5d - 2d + 4 = 3d + 3 + 1
3d + 4 = 3d + 4
<u>-3d -3d </u>
4 = 4
d = 0
Answer: bob will take a while
Step-by-step explanation: