Line bc is represented by 3x + 2y =8 line ad is a represented by -3 x -2y =6 what is the relationship of line bc to line ad expl
1 answer:
Answer:
Parallel lines
Step-by-step explanation:
Line BC:
Line AD:
Adding both equations, in this case, gives us the point at which the lines intersect:
Since zero will never equal fourteen, the equation above means that lines BC and AD will never intersect. When two lines have no point in common, they are said to be parallel lines.
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(a) Truck carries 90 gallons of diesel fuel to 660 miles.
So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.
30 gallons of diesel fuel to = 220 miles.
Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.
Join (660, 90) and (220, 30), we get the graph of a line.
Note that (0, 0) is also a point on the line.
Equation of the line is .
(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].
Hence, the domain of the function is [0, 660].
(c) Origin represents that the truck is not moving and there is no diesel fuel loaded in the truck.
