Answer:
![d \approx 12.6](https://img.qammunity.org/2021/formulas/mathematics/high-school/fsjq8wx7nelv5uxqd4psh4iq1kjph0f2fl.png)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra II
- Distance Formula:
![d = √((x_2-x_1)^2+(y_2-y_1)^2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/dqbsqwgrrgc21cw3vr7fydj59bcru5qpz8.png)
Explanation:
Step 1: Define
Point (-4, -6)
Point (8, -10)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
- Substitute [DF]:
![d = √((8+4)^2+(-10+6)^2)](https://img.qammunity.org/2021/formulas/mathematics/college/kop7pnlalb1vrs9jrwlnsa6ttjsck6et3v.png)
- Add:
![d = √((12)^2+(-4)^2)](https://img.qammunity.org/2021/formulas/mathematics/college/u44215cizjwij51q55r8uc7fvn6tlxqojj.png)
- Exponents:
![d = √(144+16)](https://img.qammunity.org/2021/formulas/mathematics/high-school/vpu2rwp8fpn74koi75u1gu0c6av9ltzep8.png)
- Add:
![d = √(160)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4f64s0lzolw7mc9wx73vya8ofgdwqj3msc.png)
- Simplify:
![d = 4√(10)](https://img.qammunity.org/2021/formulas/mathematics/high-school/1t094d94u8bowagt0huekmpgdvjdko0f52.png)
- Evaluate:
![d = 12.6491](https://img.qammunity.org/2021/formulas/mathematics/high-school/vf3mbenjdxp7hwkli9jpbunrkmk5ehtmdn.png)
- Round:
![d \approx 12.6](https://img.qammunity.org/2021/formulas/mathematics/high-school/fsjq8wx7nelv5uxqd4psh4iq1kjph0f2fl.png)