Mathematics: If you connect points W and X, What would be the distance between the two points? *Hint draw the legs

If you connect points W and X, What would be the

Ответ:

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18.03.2022

Mathematics

$\displaystyle d = 12\sqrt{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian graphCoordinates (x, y)

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Algebra II

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

Step-by-step explanation:

*Note: The Distance Formula is derived from the Pythagorean Theorem

Step 1: Define

Point W(-6, 4)

Point X(6, -8)

Step 2: Find distance d

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

Substitute in points [DF]: $\displaystyle d = \sqrt{(6--6)^2+(-8-4)^2}$ (Parenthesis) Simplify: $\displaystyle d = \sqrt{(6+6)^2+(-8-4)^2}$ (Parenthesis) Add/Subtract: $\displaystyle d = \sqrt{(12)^2+(-12)^2}$ [√Radical] Exponents: $\displaystyle d = \sqrt{144 + 144}$ [√Radical] Add: $\displaystyle d = \sqrt{288}$ [√Radical] Simplify: $\displaystyle d = 12\sqrt{2}$

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If you connect points W and X, What would be the distance between the two points? *Hint draw the legs

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