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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

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.

**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

**Calculation:**

In cartesian co-ordinate system the points are in ordered pair. Assume

Substitute

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.

**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.

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