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IrinaK [193]
1 year ago
8

Ensley used this figure in her proof of the Pythagorean theorem. In her proof. Ensley wrote the formula Va+b = c? Which of the f

ollowing explains why her formula is incorrect? The sum of the square of a and the square of b should be equal to the square root of c. The square root of the sum of a and b should be equal to the square root of c: The sum of the square of a and the square of b should be equal to the square of c. The sum of the square root of a and the square root of b should be equal to the square of c.

Mathematics
1 answer:
sasho [114]1 year ago
3 0

c)

the sum of the square of a and the square of b should be equal to square of c

Explanation

the Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

x^2+y^2=z^2

therefore Ensley is wrong because she has

so

a^2+b^2=c^2

so, the answer is

the sum of the square of a and the square of b should be equal to square of c

I hope this helps you

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y

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(

1

2

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1

,

2

)

, so the following are true:

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a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

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b

Multiply both sides of the first equation by

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(

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b

)

b

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=

8

b

2

b

2

=

1

4

b

=

±

1

2

Two equations seem to be possible here. Plug both values of

b

into the either equation to find

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. I'll use the second equation for simpler algebra.

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

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y

=

4

(

1

2

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x

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−

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2

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2

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a

(

−

1

2

)

a

=

−

4

Giving us the equation:

y

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−

4

(

−

1

2

)

x

However! In an exponential function,

b

>

0

, otherwise many issues arise when trying to graph the function.

The only valid function is

y

=

4

(

1

2

)

x

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