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3 years ago

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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3 years ago

Read 2 more answers

Find the midpoint of the line segment with the endpoints (1, 0) and (2, -10).

Mariulka [41]

Answer:

$\bigl(\frac{3}{2},-5\bigr)$

or in decimal form

$(1.5,-5)$

Step-by-step explanation:

The midpoint of the line with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)$ . just take the average between the points