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NikAS [45]
2 years ago
11

Solve for a and x in ax^2=48​

Mathematics
1 answer:
Gelneren [198K]2 years ago
6 0

Answer:

ax^2 = 48\\a = \frac{48}{x^2}

ax^2 = 48\\x^2 = \frac{48}{a} \\x = \frac{\sqrt{48} }{\sqrt{a} } \\x = \frac{4\sqrt{3} }{\sqrt{a}}  \\x = \frac{4\sqrt{3a} }{a}

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The area of the circle is 132.7 square centimeters. What is the diameter
VladimirAG [237]
Equating the formula  (d is the diameter)

\pi d^2/4 = 132.7
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d = \sqrt{169.044586}
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7 0
3 years ago
Find the surface area of the figure. For calculations involving , give both the exact value and an approximation to the nearest
leva [86]
Where is the picture?
4 0
2 years ago
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8 0
3 years ago
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
Hurry which one <br> A. 435<br> B. 512<br> C. 870<br> D. 1024
evablogger [386]

Answer:

Step-by-step explanation:

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=870

8 0
3 years ago
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