Question

Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)

Answer 1

`d=9.2`

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS

Alg II

• Distance Formula:
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point (5, -5)

Point (-2, 1)

Step 2: Find distance d

1. Substitute:
   `d = √((-2-5)^2+(1-(-5))^2)`
2. Simplify:
   `d = √((-2-5)^2+(1+5)^2)`
3. Subtract/Add:
   `d = √((-7)^2+(6)^2)`
4. Evaluate:
   `d = √(49+36)`
5. Add:
   `d = √(85)`
6. Evaluate:
   `d=9.21954`