Question

Name each of the points on the coordinate plane and find the distance between C and D.

Answer 1

Answer:

$\displaystyle d = 7$

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 II

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

Step-by-step explanation:

Step 1: Define

Point C(4, -5)

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 [DF]:                    $\displaystyle d = \sqrt{(-3-4)^2+(-5+5)^2}$
2. Subtract/Add:                       $\displaystyle d = \sqrt{(-7)^2+(0)^2}$
3. Exponents:                           $\displaystyle d = \sqrt{49+0}$
4. Add:                                      $\displaystyle d = \sqrt{49}$
5. Evaluate:                              $\displaystyle d = 7$