Question

What is the distance between the points in units Will give brainliest

Answer 1

Answer:

$\displaystyle d = 15$

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 (1, 7)

Point (-8, -5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

1. Substitute in points [DF]:                       $\displaystyle d = \sqrt{(-8-1)^2+(-5-7)^2}$
2. (Parenthesis) Subtract:                          $\displaystyle d = \sqrt{(-9)^2+(-12)^2}$
3. [√Radical] Exponents:                           $\displaystyle d = \sqrt{81+144}$
4. [√Radical] Add:                                      $\displaystyle d = \sqrt{225}$
5. [√Radical] Evaluate:                              $\displaystyle d = 15$