Question

You leave from (-2, 1) near the ball court and head to (5,0) at the Templo Mayor to pay your respects to the gods. How many units did you travel?​

Answer 1

Solution given:

(x1,y1)=(-2,1)

(x2,y2)=(5,0)

distance=?

we have

distance=
`√((x2-x1) ²+(y2-y1) ²)`

d=
`√((5+2)²+(0-1) ²)`

d=
`√(50)`

d=
`5√(2)`units

`5√(2)`units I travelled.

Answer 2

`\displaystyle d = 5√(2)`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Coordinates (x, y)

Algebra II

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

Explanation:

Step 1: Define

Identify

Point (-2, 1)

Point (5, 0)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

1. Substitute in points [Distance Formula]:
   `\displaystyle d = √((5--2)^2+(0-1)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((7)^2+(-1)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(49+1)`
4. [√Radical] Add:
   `\displaystyle d = √(50)`
5. [√Radical] Simplify:
   `\displaystyle d = 5√(2)`