BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.8, Problem 8E
To determine

To calculate: The coordinates of the points from the figure provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 8E , additional homework tip  1

Expert Solution

Answer to Problem 8E

The coordinates of the points are,

  PointCoordinateA(5,1)B(1,2)C(2,6)D(6,2)E(4,1)F(2,0)G(1,3)H(2,2)

Explanation of Solution

Given information:

The points are marked in the Cartesian plane

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 8E , additional homework tip  2

Formula used:

The Cartesian plane is divided into four quadrant. Numbers on right of zero are positive, on left of zero are negative. Numbers above zero on vertical line are positive and numbers below 0 are negative. Each pair of point in the coordinate plane is represented as an ordered pair (x,y) where first element is the x-coordinate and second element is the y-coordinate. The point (x,y) denote it is x units on x-axis and y units on y −axis and marked accordingly.

Calculation:

Consider the provided points that are marked in the Cartesian plane

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 8E , additional homework tip  3

Observe that the Cartesian plane is divided into four quadrant. Numbers on right of zero are positive, on left of zero are negative. Numbers above zero on vertical line are positive and numbers below 0 are negative. Each pair of point in the coordinate plane is represented as an ordered pair (x,y) where first element is the x-coordinate and second element is the y-coordinate. The point (x,y) denote it is x units on x-axis and y units on y −axis and marked accordingly.

For the point A , x-coordinate is 5 and y-coordinate is 1.

For the point B , x-coordinate is 1 and y-coordinate is 2.

For the point C , x-coordinate is 2 and y-coordinate is 6.

For the point D , x-coordinate is 6 and y-coordinate is 2.

For the point E , x-coordinate is 4 and y-coordinate is 1 .

For the point F , x-coordinate is 2 and y-coordinate is 1.

For the point G , x-coordinate is 1 and y-coordinate is 3 .

For the point H , x-coordinate is 2 and y-coordinate is 2 .

Therefore, the coordinates of points is tabulated as,

  PointCoordinateA(5,1)B(1,2)C(2,6)D(6,2)E(4,1)F(2,0)G(1,3)H(2,2)

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