Determine if the lines are parallel, perpendicular, neither or the same line: y = -2x + 1 and -2x + 4y = 5.
2 answers:
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Answer:
The arrow diagram and the matrix representation for the relation is shown below.
Step-by-step explanation:
The given relation is
R={(1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4, 3)}
If a relation is defined as
Then the set of x values is domain and set of y values is range.
The domain of the function is
Domain={1, 2, 3, 4)
The range of the function is
Range={1, 2, 3, 4)
In arrow diagram, we have two sets first set represents the domain and second set represents the range. The arrow connecting the element represent the relation.
In matrix representation,
The arrow diagram and the matrix representation for the relation is shown below.
The first thing we must do for this case, is to define a variable.
We have then:
w: width of the rectangle.
By definition, the area of the rectangle is the product of the length by the width.
We have then:
Substituting the value of the area we have:
Rewriting the polynomial:
When factoring we have:
Taking the positive root we have:
Then, the length of the rectangle is:
Answer:
the dimensions of the rectangle are:
width = 5.5 yd
Long = 18 yd
We have then:
w: width of the rectangle.
By definition, the area of the rectangle is the product of the length by the width.
We have then:
Substituting the value of the area we have:
Rewriting the polynomial:
When factoring we have:
Taking the positive root we have:
Then, the length of the rectangle is:
Answer:
the dimensions of the rectangle are:
width = 5.5 yd
Long = 18 yd