Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)

Mathematics

1 answer:

Pani-rosa [81]2 years ago

3 0

Answer:

$d = 3\sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point A (2, -1)

Point B (-4, 2)

Step 2: Find distance d

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

Substitute [DF]: $d = \sqrt{(-4-2)^2+(2+1)^2}$
Subtract/Add: $d = \sqrt{(-6)^2+(3)^2}$
Exponents: $d = \sqrt{36+9}$
Add: $d = \sqrt{45}$
Simplify: $d = 3\sqrt{5}$

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