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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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Pippi sold ten more cups of lemonade that cups of iced tea. She sold 120 cups in all. How many cups of lemonade did she sell?
Kamila [148]

Answer:

65  cups

Step-by-step explanation:

If she sold 10 more cups of lemonade than tea and sold 120 cups total.  I first would subtract 10 cups from 120 =110.  then I divide 110 /2 = 55 cups

The 55 cups makes it equal then I add the 10 cups back to the Lemonade to get 55+10 = 65

So your answer would be 65 cups of lemonade

7 0
3 years ago
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Lyrx [107]

Answer:

10%

Step-by-step explanation:

Hello I can help you with this question. Lets start.

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3 years ago
What are the solutions to
Svetllana [295]

Answer:

B and F

Step-by-step explanation:

Given

x² + 4x + 4 = 12 ( subtract 4 from both sides )

x² + 4x = 8

Using the method of completing the square to solve for x

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 8 + 4, that is

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x = ± \sqrt{12} - 2

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Hence

x = 2\sqrt{3} - 2 → B

x = - 2\sqrt{3} - 2 → F

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Montano1993 [528]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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