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2 years ago

What is the form of the Pythagorean triple generator?

Mathematics

2 answers:

stepladder [879]2 years ago

4 0

Answer:(x^2+y^2)^2=(x^2+y^2)(x^2+y^2)

Step-by-step explanation:

We can rewrite left side into right side form

(x^2+y^2)^2=(x^2+y^2)(x^2+y^2)

we can expand it

(x^2+y^2)^2=x^4+x^2y^2+x^2y^2+y^4

(x^2+y^2)^2=x^4+y^4+2x^2y^2

we can add and subtract 2x^2y^2

(x^2+y^2)^2=x^4+y^4+2x^2y^2+2x^2y^2-2x^2y^2

(x^2+y^2)^2=x^4-2x^2y^2+y^4+2x^2y^2+2x^2y^2

(x^2+y^2)^2=x^4-2x^2y^2+y^4+4x^2y^2

(x^2+y^2)^2=x^4-2x^2y^2+y^4+(2xy)^2

(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2

andrey2020 [161]2 years ago

3 0

The form of the Pythagorean triple is
a^2+b^2=c^2

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Answer:362

Step-by-step explanation:

So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362

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2 years ago

Evaluate C(44,21) use scientific notation, round to 3 decimal places as needed.

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3 years ago

If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will

Bas_tet [7]

Answer:

It will take about 35.439 years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

$A=P\,e^{r*t}$

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

$3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}$

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

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7 0

3 years ago

3. What is the radius of a circle whose area is 64π cm squared?

nataly862011 [7]

Answer:

Area = 64π

Area \: = \pi {r}^{2}Area=πr

64 \: \pi \: = \pi {r}^{2}64π=πr

{r}^{2} = \dfrac{64\pi}{\pi}r

64π

{r}^{2} = 64r

=64

r \: = \: \sqrt{64} = 8r=

Radius = 8 units

Finding the Diameter -

Diameter = Radius x 2 = 8 x 2 = 16 .

\bold{Diameter \: is \: 16 \: units}Diameteris16units

8 0

2 years ago

For what value of a does 9 equal 1/27 a + 3

Yakvenalex [24]

Answer:

a = 162

Step-by-step explanation:

9 = 1/27 a +3

Subtract 3 from each side

9-3 = 1/27 a +3-3

6 = 1/27 a

Multiply each side by 27

6*27 = 1/27 a *27

162 = a

6 0

3 years ago

Read 2 more answers

What is the form of the Pythagorean triple generator?​

What is the form of the Pythagorean triple generator?