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 114E

(a)

To determine

To find: The intersection point where the coffee shop located.

Expert Solution

Answer to Problem 114E

The intersection point where the coffee shop located is 15 St.and 12 Ave.

Explanation of Solution

Given:

Two points where the friends lived are 3St.and 7Ave and 27St.and 17Ave.

Formula used:

The formula to calculate the midpoint of line segment from A(x1,y1) and B(x2,y2) is,

Midpoint=(x1+x22,y1+y22) . (1)

Calculation:

In cartesian co-ordinate system the points are in ordered pair. Assume A=(3,7) and B=(27,17) .

Substitute 3 for x1 , 27 for x2 , 7 for y1 and 17 for y2 in equation (1).

Midpoint=(3+272,7+172)=(302,242)=(15,12)

Hence, the intersection point is where the coffee shop located is 15 St and 12 Ave.

(b)

To determine

To find: The distance travelled by each friend to get to the coffee shop.

Expert Solution

Answer to Problem 114E

The distance travelled by each friend to get to the coffee shop is 20 blocks.

Explanation of Solution

Given:

Two points where the friends lived are 3St.and 7Ave and 27St.and 17Ave and the point of intersection is 15St.and 12Ave.

Calculation:

The walking distance between the first friend house and the coffee shop is 15 blocks east and 5 blocks north.

Totaldistance=15+5=20

Hence, the distance travelled by each friend to get to the coffee shop is 20 blocks.

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