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makkiz [27]
3 years ago
9

A rectangles width is 5 feet less than its length. Write a quadratic function that expresses the rectangles area in terms of its

length
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer:

Area = L²-5L

Step-by-step explanation:

Area = length * width

Length = L

Width = L - 5

Area = L * (L-5) = L²-5L

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5. If the tree's circumference is 141.3ft, what is its diameter?
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Answer:

d ≈ 45 ft

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

  • Circumference of a Circle Formula: C = πd

Step-by-step explanation:

<u>Step 1: Define</u>

Circumference <em>C </em>= 141.3 ft

<u>Step 2: Solve for </u><em><u>d</u></em>

  1. Substitute in <em>C</em> [Circumference Formula]:                                                       141.3 ft = πd
  2. Substitute in π (approximation):                                                                      141.3 ft ≈ 3.14d
  3. [Division Property of Equality] Divide both sides by 3.14:                              45 ft ≈ d
  4. Rewrite:                                                                                                             d ≈ 45 ft
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