Mathematics: Find AB when A(-4, 1) and B(3, -1)

Find AB when A(-4, 1) and B(3, -1) - id413111179532, ayoismeisalex

Ответ:

ayindejoy

15.03.2021

Mathematics

$\displaystyle d = \sqrt{53}$

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

Point A(-4, 1)

Point B(3, -1)

Step 2: Find distance d

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

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(3+4)^2+(-1-1)^2}$ [√Radical] (Parenthesis) Add/Subtract: $\displaystyle d = \sqrt{(7)^2+(-2)^2}$ [√Radical] Evaluate exponents: $\displaystyle d = \sqrt{49+4}$ [√Radical] Add: $\displaystyle d = \sqrt{53}$

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Find AB when
A(-4, 1) and B(3, -1)

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