High School

Use the formula [tex]\frac{1}{p} + \frac{1}{q} = \frac{1}{f}[/tex] to find [tex]f[/tex] when [tex]p = 6[/tex] and [tex]q = 12[/tex].

A. [tex]f = 4[/tex]
B. [tex]f = 8[/tex]
C. [tex]f = 24[/tex]
D. [tex]f = 18[/tex]

Answer :

Final answer:

Using the formula 1/p + 1/q = 1/f with p=6 and q=12, we find that 1/6 + 1/12 equals 3/12, and inverting this yields (A)f=4. Hence, option a) f=4 is the correct answer.

Explanation:

To find the value of f when p=6 and q=12, we use the formula 1/p + 1/q = 1/f. Plugging in the values, we get:

  • 1/6 + 1/12 = 1/f
  • 2/12 + 1/12 = 1/f
  • 3/12 = 1/f
  • 1/4 = 1/f

By inverting both sides, we find:

  • f = 4

Therefore, the correct answer is f=4, which corresponds to opti

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