Question

What is the distance between (-2,-8)(7,-3)

Answer 1

Answer:

$\displaystyle d = \sqrt{106}$

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

• 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

Identify

Point (-2, -8)

Point (7, -3)

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]:                                                         $\displaystyle d = \sqrt{(7--2)^2+(-3--8)^2}$
2. [√Radical] (Parenthesis) Subtract:                                                                   $\displaystyle d = \sqrt{(9)^2+(5)^2}$
3. [√Radical] Evaluate exponents:                                                                       $\displaystyle d = \sqrt{81+25}$
4. [√Radical] Add:                                                                                                 $\displaystyle d = \sqrt{106}$

Answer 2

Answer:

$\sqrt{106}$ or 10.29563

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

$d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }$

d = distance

$(x_{1}, y_{1})$ = coordinates of the first point

$(x_{2}, y_{2})$ = coordinates of the second point