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# Explain the equation a^2 + b^2 = c^2?

Pythagorean triples uses this formula a^2+ b^2= c^2, what does the ^ mean?

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^ means "raised to the power of."
a^2 is "a raised to the power of 2" or "a squared."

Posted on Jul 12, 2013

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## Related Questions:

### The sum of two square numbers is equal to a squar

3^2=9
4^2=16
9+16=25 =5^2
You can write 3^2+4^2=5^2
(3,4,5) form a Pythagorean triple.
If you construct a right triangle with legs =3 and 4, the hypotenuse will be 5, because in a right triangle the Pythagorean theorem holds true.
It says (leg_1)^2+l(leg_2)^2=(hypotenuse)^2
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Now, we need to figure out r. However, we can calculate r because it is the distance from the origin to (-6,2). We can use Pythagorean Theorum, a^2 + b^2 = c^2, were a is -6 and b is 2. We get 6^2 + 2^2 =c^2. c^2= 40.

Thus, the formula of the circle is x^2 + y^2 = 40.

Good luck.
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### What does the equation mean a^2 b^2 = c^2?

With the insertion of a plus sign it's "a squared plus b squared is equal to c squared." Applied to the Pythagorean Theorem it's "the sum of the squares of the sides is equal to the square of the hypotenuse."

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Pythagorean Theorem?
The formula should be L=(P-2W)/2 or L= (P/2)-W
P is the perimeter of the rectangle, L its length, and W the width. But where do you hook the Pythagorean Theorem here? In other words, where is the question you are asking?

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This calculator is unable to factor a polynomial expression.
In general there are a few factoring methods
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### The total cost of C of producing n articles per hour in a factory is given by the formula C = a + bn where a and b are constants When 10 articles are produced the total cost is 320 when two are produced...

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first equation: 320 = a + b(10)
second equation: 520 = a +b(20)

320 = a + 10b
520 = a + 20b subtract equation 2 from equation 1

-
200 = -10b divide by -10

20 = b plug b into one of the equations

320 = a +(20)(10) multiply

320 = a +200 subtract 200

120 = a

Let me know if i need to explain further.

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