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

Answer:

$\displaystyle d = 5\sqrt{2}$

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: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step 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]:                                                         $\displaystyle d = \sqrt{(5--2)^2+(0-1)^2}$
2. [√Radical] (Parenthesis) Subtract:                                                                   $\displaystyle d = \sqrt{(7)^2+(-1)^2}$
3. [√Radical] Evaluate exponents:                                                                       $\displaystyle d = \sqrt{49+1}$
4. [√Radical] Add:                                                                                                 $\displaystyle d = \sqrt{50}$
5. [√Radical] Simplify:                                                                                           $\displaystyle d = 5\sqrt{2}$

Answer 2

Answer:

Solution given:

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

(x2,y2)=(5,0)

distance=?

we have

distance=$\sqrt{(x2-x1) ²+(y2-y1) ²}$

d=$\sqrt{(5+2)²+(0-1) ²}$

d=$\sqrt{50}$

d=$5\sqrt{2}$units

$5\sqrt{2}$units I travelled.