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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

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4 years ago

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Read 2 more answers

find an equation of the line satisfying the given condition in standard form . Through {0, -35/3} ; slope 7/3

Nostrana [21]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis.

According to the statement data we have:

$m = \frac {7} {3}$

Thus, the equation is of the form:

$y = \frac {7} {3} x + b$

We substitute the given point and find the cut-off point:

$- \frac {35} {3} = \frac {7} {3} (0) + b\\- \frac {35} {3} = b$

Finally, the equation is:

$y = \frac {7} {3} x- \frac {35} {3}$

We manipulate algebraically to obtain the standard form:

We multiply by 3 on both sides of the equation:

$3y = 7x-35\\3y-7x = -35$

We multiply by -1 on both sides:

$7x-3y = 35$

Answer:

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