Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Reading a Cartesian plane
- Coordinates (x, y)
Algebra II
- Distance Formula:
![\displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)](https://img.qammunity.org/2022/formulas/mathematics/college/hnfdptiedh4o2ehlvq4rqv9y5g39spn9gc.png)
Explanation:
Step 1: Define
The scale of the graph is 1.
Point A → (4, 3)
Point E → (-5, 3)
Step 2: Find distance d
- Substitute in points [Distance Formula]:
![\displaystyle d = √((-5-4)^2+(3-3)^2)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/j3nhtu4gydhdf2s4c0ig1c3pfg2jgbeabd.png)
- [√Radical] (Parenthesis) Subtract:
![\displaystyle d = √((-9)^2+(0)^2)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/tuwtgckt7g60zcf67995924ksxws3f4zfo.png)
- [√Radical] Evaluate exponents:
![\displaystyle d = √(81 + 0)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/ciepptwtszgxcl9y0zfl4dudfkpshserf9.png)
- [√Radical] Simplify:
![\displaystyle d = √(81)](https://img.qammunity.org/2022/formulas/mathematics/college/mhrpbol9peyxe6dwqlbrtbe2nd1atyxc2c.png)
- [√Radical] Evaluate:
![\displaystyle d = 9](https://img.qammunity.org/2022/formulas/mathematics/college/1mp0i9byqfrf5qhg73e7t4as59tnj9ww78.png)