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Gnom [1K]
2 years ago
13

Multiply. {}=3\dfrac{1}{2} \times 3\dfrac12=3 2 1 ​ ×3 2 1 ​

Mathematics
1 answer:
Inessa [10]2 years ago
4 0

I assume you mean the product of mixed numbers,

3 1/2 × 3 1/2

If we write this as

(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²

we can use the identity

(a + b)² = a² + 2ab + b²

so that

3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²

3 1/2 × 3 1/2 = 9 + 3 + 1/4

3 1/2 × 3 1/2 = 12 1/4

Alternatively, we can first write 3 1/2 as a mixed number:

3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2

Then

3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4

and

49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4

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Step-by-step explanation:

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If the values given in each option satisfy the theorem, the sides will make a right triangle.

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The sides would not make a right triangle.

<h3>For Option Two:</h3>

6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}

The sides would make a right triangle.

<h3>For Option Three:</h3>

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The sides would make a right triangle.

<h3>For Option Four:</h3>

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The sides would not make a right triangle.

The correct answer should be options two and three.

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2 years ago
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