# The intersection point where the coffee shop located.

### Precalculus: Mathematics for Calcu...

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

### 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

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

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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