Answer:
D) 11.2 Orange
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
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
Find points from graph.
Point (-8, -1)
Point (-3, 9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
- Substitute [DF]:
![\displaystyle d = √((-3+8)^2+(9+1)^2)](https://img.qammunity.org/2022/formulas/mathematics/college/ux9izopldwolxgrytemwkv7kvc41t8e348.png)
- Add:
![\displaystyle d = √((5)^2+(10)^2)](https://img.qammunity.org/2022/formulas/mathematics/college/pxv2csyhiz0j40he1fsvxatkrm7ropinyo.png)
- Exponents:
![\displaystyle d = √(25+100)](https://img.qammunity.org/2022/formulas/mathematics/college/lxbjuciqyo1sm3jv4nbv24tanfrhab1jvc.png)
- Add:
![\displaystyle d = √(125)](https://img.qammunity.org/2022/formulas/mathematics/college/r2zhts7extbbn2i2bh7liqi9mbyhbynfzw.png)
- Simplify:
![\displaystyle d = 5√(5)](https://img.qammunity.org/2022/formulas/mathematics/college/7rc5vpqg6c8hcvznvjysvpp2lqky4905eq.png)
- Evaluate:
![\displaystyle d = 11.1803](https://img.qammunity.org/2022/formulas/mathematics/college/twp51q4kc05ydao62eeu4eowv9jvz4cpve.png)
- Round:
![\displaystyle d = 11.2](https://img.qammunity.org/2022/formulas/mathematics/college/xpuloqk6i8ps4cjojagz64l6ihoksuw3o1.png)