Question

HELP PLS QUICK

(03.03 LC)
Look at points C and D on the graph:

What is the distance (in units) between points C and D? Round your answer to the
nearest hundredth. (5 points)

Answer 1

`\displaystyle d \approx 7.07`

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

• Reading a Cartesian plane
• Coordinates (x, y)

Algebra II

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

Explanation:

Step 1: Define

Point C (-2, 0)

Point D (3, 5)

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 = √((3+2)^2+(5-0)^2)`
2. [√Radical] (Parenthesis) Add/Subtract:
   `\displaystyle d = √((5)^2+(5)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(25+25)`
4. [√Radical] Add:
   `\displaystyle d = √(50)`
5. [√Radical] Simplify:
   `\displaystyle d = 5√(2)`
6. [√Radical] Evaluate:
   `\displaystyle d = 7.07107`
7. Round:
   `\displaystyle d \approx 7.07`