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4 years ago

6 Which property justifies this step in simplifying an expression?

Mathematics

1 answer:

AVprozaik [17]4 years ago

7 0

A-associative property

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What is the distance between point A and point B? Round to nearest tenth.

Sergeu [11.5K]

Answer:

$d \approx 12.6$

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

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

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

Substitute [DF]: $d = \sqrt{(8+4)^2+(6-2)^2}$
Add/Subtract: $d = \sqrt{(12)^2+(4)^2}$
Exponents: $d = \sqrt{144+16}$
Add: $d = \sqrt{160}$
Simplify: $d = 4\sqrt{10}$
Evaluate: $d = 12.6491$
Round: $d \approx 12.6$

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