Which of the following tables represents a function?
2 answers:
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Answer:
Please find attached the image of the quadrilateral TRAM after a rotation of -90 degrees, created with MS Excel
Step-by-step explanation:
The given coordinates of the vertices of the quadrilateral TRAM are;
T(-5, 1), R(-7, 7), A(-1, 7), M(-5, 4)
By a rotation of -90 degrees = Rotation of 90 degrees clockwise, we get;
The coordinates of the preimage before rotation = (x, y)
The coordinates of the image after rotation = (y, -x)
Therefore, we get for the the quadrilateral T'R'A'M', by rotating TRAM -90 degrees as follows;
T(-5, 1) → T'(1, 5)
R(-7, 7) → R'(7, 7)
A(-1, 7) → A'(7, 1)
M(-5, 4) → M'(4, 5)
The image of TRAM after -90 degrees rotation is created by plotting the derived points of the quadrilateral T'R'A'M' on MS Excel and joining the corresponding points as presented in the attached diagram.
Answer:
Step-by-step explanation:
A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.
The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).
The distance d1 from (x,y) to (2,3) is:
The distance d2 from (x,y) to (6,1) is:
Since d1=d2:
Squaring both sides:
Operating:
Simplifying all the squares:
Moving the variables to the left side and the numbers to the right side:
Simplifying:
Dividing by 4:
Or, equivalently: