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, Problem 23RCC

a.

To determine

State the distance formula.

Expert Solution

Answer to Problem 23RCC

The distance formula is D=(x2x1)2+(y2y1)2 .

Explanation of Solution

Given information:

State the distance formula.

Calculation:

Take points (x,y) on the coordinate plane and draw a line between them to determine the length of line to form a right triangle with line length equal to hypotenuse.

Graphically,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 23RCC

Applying the pythagorean theorem to points (x1,y1) and (x2,y2) we get,

  D2=(x2x1)2+(y2y1)2

Where D is the distance between the points. Solving for D gives distance formula.

  D=(x2x1)2+(y2y1)2

Hence, the distance formula is D=(x2x1)2+(y2y1)2 .

b.

To determine

State the Midpoint Formula.

Expert Solution

Answer to Problem 23RCC

The midpoint formula is x=x1+x22,y=y1+y22

Explanation of Solution

Given information:

State the Midpoint Formula.

Calculation:

Given two points on the coordinate plane are (x,y) to find the midpoint of line segment joining them by averaging the values of points (x,y) coordinates.

Points (x1,y1),(x2,y2) the midpoint formula is;

  x=x1+x22,y=y1+y22

Hence, the midpoint formula is x=x1+x22,y=y1+y22

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