Question

please help me i beg you plz ​

Answer 1

Answer:

$\displaystyle d = \sqrt{17}$

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

Step-by-step explanation:

Step 1: Define

Point (-3, 2)

Point (-4, 6)

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]:                                                       $\displaystyle d = \sqrt{(-4--3)^2+(6-2)^2}$
2. [√Radical] (Parenthesis 1) Simplify:                                                                $\displaystyle d = \sqrt{(-4+3)^2+(6-2)^2}$
3. [√Radical] (Parenthesis) Add/Subtract:                                                         $\displaystyle d = \sqrt{(-1)^2+(4)^2}$
4. [√Radical] Evaluate exponents:                                                                     $\displaystyle d = \sqrt{1+16}$
5. [√Radical] Add:                                                                                               $\displaystyle d = \sqrt{17}$