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AnnyKZ [126]
3 years ago
5

Replace ∗ with a monomial so that the derived expression may be represented as a square of a binomial: * +14b+49

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

  * = b²

Step-by-step explanation:

You know that the square of a binomial is of the form ...

  (x + y)² = x² + 2xy + y²

Matching given terms, we have ...

  49 = y²

  2xy = 14b

Solving the first of these relations for y, we have

  y = √49 = 7

Putting that in the second relation and solving for x, we find ...

  2x·7 = 14b

  14x = 14b

  x = b

Then the first term of the expansion, x², will be b².

The missing term is b².

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Answer:

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Step-by-step explanation:

Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...

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Using this value in the second equation, we find ...

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5 0
3 years ago
Problem page the sum of two numbers is 56 . one number is 3 times as large as the other. what are the numbers?
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Step-by-step explanation:

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