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siniylev [52]
3 years ago
15

Select the polynomial that is a perfect square trinomial. A. 49x^2 - 8x + 16 B. 4a^2 - 10a + 25 C. 25b^2 - 5b + 10 D. 16x^2 - 8x

+ 1
Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0

Answer:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

Step-by-step explanation:

Take a look at B:  4a^2 - 10 a + 25.  The square roots of 4a^2 and 25 are 2a and 5 respectively.  Does (2a - 5)^2 come out to 4a^2 - 10a + 25?  No.

Take a look at C:  25b^2 - 5b + 10  We know this is not a perfect square trinomial because 10 is not a square.

D:  16x^2 - 8x + 1:  both 16x^2 and 1 are perfect squares, so we have:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

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A trout lurking 32 cm below the surface of a lake spies an insect flying 17cm above the lake. How many centimeters would the tro
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Answer:

The Trout will have to jump 49 cm in order to catch the insect

Step-by-step explanation:

Here, we want to calculate the distance the Trout has to jump in order to catch the Insect

To calculate this, we need to know the difference in the distances

From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake

The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;

17 + 32 = 49 cm

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2 years ago
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event
mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = \frac{1}{4}

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = \frac{1}{4}

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = \frac{1}{4}

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = \frac{3}{20}

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = \frac{1}{20}

The probability of Javier to attend no events :-

P ( x = 0 ) = \frac{1}{20}

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = \frac{1}{20} + \frac{1}{20} + \frac{3}{20}   = \frac{1 + 1 + 3}{20}  = \frac{5}{20}  = \frac{1}{4}   = 0.25 = 25 %.

8 0
3 years ago
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