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maksim [4K]
3 years ago
7

Given the following perfect square trinomial, fill in the missing term. (Do not type the variable in the blank.) 4x2 + ___x + 49

Numerical Answers Expected!
Mathematics
2 answers:
Alex3 years ago
7 0

Answer:

4x^2+28x+49

Step-by-step explanation:

We have been given a perfect square trinomial 4x^2+...x+49. We are asked to fill in the missing blank.

We know that a perfect square trinomial is in form a^2+2ab+b^2.

We can rewrite terms of our given expression as:

2^2x^2+...x+7^2

(2x)^2+...x+7^2

We can see that the value of a is 2x and value of b is 7, so 2ab will be:

2ab=2(2x)(7)=28x

Since we are asked to give numerical answer, so the missing value is 28 for our given perfect square trinomial.

m_a_m_a [10]3 years ago
3 0
4x^2+28x+49

4x^2+14x+14x+49

2x(2x)+2x(7)+7(2x)+7(7)

2x(2x+7)+7(2x+7)

(2x+7)(2x+7)

(2x+7)^2

The missing term is 28.
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Step-by-step explanation:

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7 0
3 years ago
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Step-by-step explanation:

8 0
3 years ago
A rubber ball is dropped from the top of a hole. Exactly 20 seconds later, the sound of the rubber ball hitting bottom is heard.
gayaneshka [121]

9514 1404 393

Answer:

  4192.9 ft

Step-by-step explanation:

We assume your falling-distance formula is supposed to be ...

  s = 16t²

So, the time required to fall distance s is ...

  t = √(s/16) = (1/4)√s

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  t = s/1100

Then the sum of the time for the ball to fall and the time for the sound to travel back is ...

  (1/4)√s + s/1100 = 20

  275√s = 22000 -s . . . . . multiply by 1100 and subtract s

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  s ≈ (1/2)(119,625 ±√12,374,140,625) = {4192.943, 115432.057}

Only the smaller of these two solutions makes any sense in this problem.

The hole is about 4192.9 feet deep.

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<em>Additional comment</em>

The distance equation for the falling object presumes a vacuum. The sound transmission presumes the presence of air, so the question setup is self-contradictory.

7 0
3 years ago
Below are 36 sorted ages of an acting award winner. Find Upper P70 using the method presented in the textbook.
Leona [35]
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Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).

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The 25th data in the data set is 58.

Therefore, the upper P70 is 58.
</span>
6 0
3 years ago
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