The graph of the following system of equations is
2 answers:
Answer:
They are the intersecting lines.
Step-by-step explanation:
We are given the graph of the system of linear equations:
−2x + y = 3
4x + 2y = 2
- The lines overlap if the ordered vertices alternate between the two segments.
- Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)
so clearly on solving by method of elimination or by graphing the graph of these two system of equations have a unique solution i.e. the solution is the intersecting points of the two line.
The intersecting point is: (-0.5,2)
Hence, they are intersecting lines.
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Answer:
The exact work required to pump all the gasoline to the surface of the ground is π × 5.094 × 10⁶ j
Step-by-step explanation:
Here, we note that volume of a slice is given by
Length × Width × Height
Length of slice = Length of cylinder = 15 ft
Since the slice height is Δy ft thick and located y ft above the center of the cylinder, then
Width of slice = 2 × √(r² - y²)
Where:
r = Radius of the cylinder =5 ft
∴ Width of slice = 2 × √(25 - y²)
∴Volume of slice = 15 ×2 × √(25 - y²)×Δy
Mass of slice then = 42 × 15 ×2 × √(25 - y²)×Δy = 1260 × √(25 - y²)×Δy
The force required to lift the slice is the weight of the slice, which is given by
32.2 × 1260 × √(25 - y²)×Δy = 40572 × √(25 - y²)×Δy N (Newtons)
The work done by the force is the product of the force and the distsnce through which the force acts.
Work done = 40752×(10-y) × √(25 - y²)×Δy
Therefore total work done is given by
= 5094000·π J = π × 5.094 × 10⁶ j
The exact work required to pump all the gasoline to the surface of the ground = π × 5.094 × 10⁶ j
Answer:
here's the solution ; -
=》
=》
=》
=》
so, required zeroes are : -3 and -5