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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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X^2+4x=-3<br>what would be the steps to find the answer of this equation?<br><br>to find x
Verizon [17]
X^2+4x=-3
x^2+4x+3=0
(x+1)(x+3)=0
x+1=0 so x=-1
x+3=0 so x=-3
so the solution is x=-3,-1
Hope this helped! Please rate my answer if I helped you! Any questions please feel free to ask! Thank you so much!
7 0
3 years ago
A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx-5. What values of the slope o
irakobra [83]
You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.

Then 3x^2 + 4x -2 = mx - 5

solve 3x^2 + 4x - mx -2 + 5 = 0

3x^2 + (4 - m)x + 3 = 0

In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>

b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0

(4 - m)^2 = 24

4 - m = +/- √(24)

m = 4 +/- √(24) = 4 +/- 2√(6)

Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6




7 0
3 years ago
How do polynomial identities apply to complex numbers?
Leni [432]

Answer:

Let start with what a polynomial is. Look in the step-by-step explanation.

Step-by-step explanation:

We know a polynomial has more than one term, right?

3 0
3 years ago
No explanation needed, just correct answer please.
RoseWind [281]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Find the ratio of the perimeter of the first figure to the perimeter of the second.
ololo11 [35]

Answer:

2:1

Step-by-step explanation:

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2 years ago
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