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(10 POINTS) Given the following formula, Solve for a.
S= a+b+c/2

A. A= s- b+c/2
B. A= 2s - b + c
C. A= 2s - b - c
D. A = s - b-c/2

10 POINTS Given the following formula Solve for a S abc2 A A s bc2 B A 2s b c C A 2s b c D A s bc2 class=

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Space

Answer:

C. a = 2s - b - c

General Formulas and Concepts:

Pre-Algebra

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
  • Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle s = \frac{a + b + c}{2}[/tex]

Step 2: Solve for a

  1. Multiply 2 on both sides:                     [tex]\displaystyle 2s = a + b + c[/tex]
  2. Subtract b on both sides:                    [tex]\displaystyle 2s - b= a + c[/tex]
  3. Subtract c on both sides:                    [tex]\displaystyle 2s - b - c = a[/tex]
  4. Rewrite:                                                [tex]\displaystyle a = 2s - b - c[/tex]

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