Find the distance d(P1, P2) between the points P1 and P2.

Mathematics

1 answer:

earnstyle [38]3 years ago

5 0

Answer:

$\displaystyle d = \sqrt{65}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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

P1 (4, -5) → x₁ = 4, y₁ = -5

P2 (3, 3) → x₂ = 3, y₂ = 3

Step 2: Find distance d

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

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(3-4)^2+(3--5)^2}$
[Distance] [√Radical] (Parenthesis) Simplify: $\displaystyle d = \sqrt{(3-4)^2+(3+5)^2}$
[Distance] [√Radical] (Parenthesis) Subtract/Add: $\displaystyle d = \sqrt{(-1)^2+(8)^2}$
[Distance] [√Radical] Evaluate exponents: $\displaystyle d = \sqrt{1+64}$
[Distance] [√Radical] Add: $\displaystyle d = \sqrt{65}$

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Ivanshal [37]

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4 years ago

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