PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Coordinate Geometry
Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …
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Chapter P, Problem 14RE
Solution

a.

The distance between given two points.

  45

Given information:

Given points are −4,3, and 5,−1 .

Formula used:

The distance between two pints, x1,y1, and x2,y2 , is given by:

  x2−x12+y2−y12

Calculation:

To calculate the distance between −4,3, and 5,−1 , use the formula for the distance between two points x1,y1, and x2,y2 that is

  x2−x12+y2−y12

Here, points are −4,3, and 5,−1 , thus the distance is calculated as:

  5−−32+−1−32=5+32+−42=82+16=64+16=80=45

Thus, the distance between the given two points is 45 .

b.

The midpoint of the line with the given end points.

  12,1

Given information:

Given points are −4,3, and 5,−1 .

Formula used:

The midpoint of a line segment with the end points x1,y1, and x2,y2 , is given by:

  x2+x12,y2+y12

Calculation:

To calculate midpoint of the line with the given end points, use the formula for the midpoint of line segment with endpoints x1,y1, and x2,y2 that is

  x2+x12,y2+y12

Here, points are −4,3, and 5,−1 , thus the midpoint is calculated as:

  5+−42,−1+32=5−42,22=12,1

Thus, the midpoint of the line segment with given end points is 12,1 .

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Chapter P, Problem 15RE

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

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