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Murljashka [212]
3 years ago
6

Make x the subjectthank you​

Mathematics
1 answer:
Leya [2.2K]3 years ago
4 0

Answer:

x =\sqrt{\frac{a^6m}{b^2}+n}

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties
  • Exponent Power Rule: (b^m)^n=b^{mn}

Step-by-step explanation:

<u>Step 1: Define equation</u>

a\sqrt{\frac{x^2-n}{m} } =\frac{a^2}{b}

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

  1. Multiply <em>a</em> on both sides:                    \sqrt{\frac{x^2-n}{m} } =\frac{a^3}{b}
  2. Square both sides:                              \frac{x^2-n}{m} =(\frac{a^3}{b})^2
  3. Simplify:                                               \frac{x^2-n}{m} =\frac{a^6}{b^2}
  4. Multiply <em>m</em> on both sides:                   x^2-n =\frac{a^6}{b^2}m
  5. Add <em>n</em> to both sides:                           x^2 =\frac{a^6}{b^2}m+n
  6. Simplify:                                               x^2 =\frac{a^6m}{b^2}+n
  7. Square root both sides:                      x =\sqrt{\frac{a^6m}{b^2}+n}
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
If 1 inch is 500 miles, then 4 inches is how many miles?
tiny-mole [99]

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Step-by-step explanation:

We are given:

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Therefore, there are 2,000 miles in 4 inches.

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We can check our solution by simplifying the fraction \frac{2000 miles}{4 inches} by dividing both 2000 and 4 by 4 to see if we achieve the unit rate:

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6 0
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