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Galina-37 [17]
3 years ago
13

Max just realized that she doesn't know how tall she is in the metric system. She wants to order some clothing from a European w

ebsite so she needs to figure out her height in centimeters.
If she is 5 feet 2 inches tall, how many centimeters is this?
Mathematics
1 answer:
kogti [31]3 years ago
4 0

(157.48)........................................

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Find the distance d(P1, P2) between the points P1 and P2.
earnstyle [38]

Answer:

\displaystyle d = \sqrt{65}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

P1 (4, -5) → x₁ = 4, y₁ = -5

P2 (3, 3) → x₂ = 3, y₂ = 3

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                        \displaystyle d = \sqrt{(3-4)^2+(3--5)^2}
  2. [Distance] [√Radical] (Parenthesis) Simplify:                                                 \displaystyle d = \sqrt{(3-4)^2+(3+5)^2}
  3. [Distance] [√Radical] (Parenthesis) Subtract/Add:                                          \displaystyle d = \sqrt{(-1)^2+(8)^2}
  4. [Distance] [√Radical] Evaluate exponents:                                                    \displaystyle d = \sqrt{1+64}
  5. [Distance] [√Radical] Add:                                                                                \displaystyle d = \sqrt{65}
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