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2 years ago

Find the distance between the pair of points that given on the graph?

Mathematics

1 answer:

katen-ka-za [31]2 years ago

8 0

Answer:

$\displaystyle d = \sqrt{74}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a coordinate plane
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

Find endpoints from graph

Point (-3, -3)

Point (4, 2)

Step 2: Find distance d

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

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(4- -3)^2+(2- -3)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{7^2+5^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{49+25}$
[√Radical] Add: $\displaystyle d = \sqrt{74}$

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