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The solution for the system of lines is defined as follows,
x-Intercept for line a: (4,0)
y-Intercept for line a: (0,2)
x-Intercept for line b: (1.5, -0)
y-Intercept for line b: (0,-2)
Line a and b intersect at (2,1)
Solving the System of Lines:
Line a: x + 2y = 4
Line b: 3x – 2y = 4
From the graph,
Line a intersect x-axis at (4,0) and y-axis at (0,2)
Line b intersect x-axis at (-1.5,0) and y-axis at (0,-2)
x + 2y = 4
x = 4-2y
Since point P lies on bot the lines A and B, it will satisfy the equations of both a and b.
Thus, substituting x = 4-2y in the equation of line b, we get,
3(4-2y) - 2y = 4
12 - 6y - 2y = 4
8y = 8
y = 1
Putting y=1 in the equation of line a, x = 4-2y, we get,
x = 4-2(1)
x = 4-2
x = 2
Hence, point P≡(2,1).
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Answer:
Step-by-step explanation:
Alright, lets get started.
We have given the volume of a prism that is 2400 cubic centimeters.
we have not given which type of prism it is, so we are taking it as a rectangular prism.
The formula of volume of rectangular prism is :
Where l is length of base
w is width of base
h is height of prism
So,
So, if we factor 2400 in two different manners, we could have two different dimensions of this prism having same volume that is 2400.
So, our first factor would be :
Means the prism has base of 20 and 20 centimeters and height of 6 centimeters.
Our second factor would be :
Means the prism has base of lenght 40 and width 30 and its height is 2 centimeters.
Hence we have two dimensions of prism, 20 20 6 and another one is 40 30 2. : Answer
Hope it will help :)