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12345 [234]
3 years ago
5

D

Mathematics
1 answer:
Anestetic [448]3 years ago
7 0

Answer:

D. 1

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>Algebra I </u>

  • Function Notation

<u>Pre-Calculus </u>

  • Unit Circle

<u>Calculus </u>

  • Derivatives
  • Derivative Notation
  • Derivative of tan(x) = sec²(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\frac{d}{dx} [tan(x)]\\x = \pi<u />

<u />

<u>Step 2: Differentiate</u>

  1. Differentiate:                    \frac{d}{dx} [tan(x)] = sec^2(x)

<u>Step 3: Evaluate</u>

  1. Substitute in <em>x</em>:                    sec^2(\pi)
  2. Evaluate:                              1
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Hello russell6333!

\huge \boxed{\mathfrak{Question} \downarrow}

Solve for x.

  1. 144 = 12x
  2. 45 = 4x - 27
  3. 2x - 2 = 14
  4. 12x = 44 - 10x

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

1) \:  \:  \: 144 = 12x \\  \frac{144}{12}  = x \\ \boxed{ \boxed{  \bf12 = x}}

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2) \:  \:  \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\  \frac{72}{4}  = x \\  \boxed{ \boxed { \bf18 = x }}

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3) \:  \:  \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x =  \frac{12}{2}  \\ \boxed{  \boxed{ \bf \: x = 6}}

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4) \:  \:  \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x =  \frac{44}{22}  \\  \boxed{\boxed{  \bf \: x = 2}}

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<h3><u>NOTE </u><u>:</u><u>-</u></h3>
  • To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
  • Remember that the signs & operations will change when you bring a term to the other side of the equation.
  • So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

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