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mezya [45]
2 years ago
5

NEED HELP..... Select the polynomial that is a perfect square trinomial. 36x^2 − 4x + 16 16x^2 − 8x + 36 25x^2 + 9x + 4 4x^2 + 2

0x + 25
Mathematics
2 answers:
Iteru [2.4K]2 years ago
8 0
<h3>Answer: Choice D.  4x^2 + 20x + 25</h3>

===============================================

Explanation:

Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2

So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.

Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.

-------------

(a+b)^2 = a^2+2ab+b^2

(2x+5)^2 = (2x)^2+2*2x*5+5^2

(2x+5)^2 = 4x^2 + 20x + 25

RUDIKE [14]2 years ago
5 0

Answer:

(2x+5)² or (2x+5)(2x+5)

Step-by-step explanation:

4x²+ 20x + 25

(2x       ) (2x      )     first step 2x*2x=4x²

(2x  +  5   )(2x  +   5  )  the constant sign is plus so it can be ( minus × minus=plus OR plus×plus=plus) look at the middle value it is positive so the two signs are positive or plus sign.

(2x+5)²

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Someone please help me
Lilit [14]
<h3>Answer:</h3>
  1. C. (9x -1)(x +4) = 9x² +35x -4
  2. B. 480
  3. A. P(t) = 4(1.019)^t

Step-by-step explanation:

1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.

2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...

... (d+43) + d = 1003

... 2d = 960 . . . . . . . subtract 43

... d = 480 . . . . . . . . divide by 2

The second voyage lasted 480 days.

3. 1.9% - 1.9/100 = 0.019. Adding this fraction to the original means the original is multiplied by 1 +0.019 = 1.019. Doing this multiplication each year for t years means the multiplier is (1.019)^t.

Since the starting value (in 1975) is 4 (billion), the population t years after that is ...

... P(t) = 4(1.019)^t

7 0
3 years ago
The basketball player Shaquille O'Neal is 7 feet 1 inch tall, which is equivalent to 216 centimeters a nanometer (nm) is a unit
Kamila [148]

Answer:

Shaquille O'Neal's height= 2,160,000,000 nm

= 2.16 × 10^9 nm

Completed question;

The basketball player Shaquille O'Neal is 7 feet 1 inch tall, which is equivalent to 216 centimeters a nanometer (nm) is a unit of measurement that is one-billionth of a meter, convert his height to nanometers.

Step-by-step explanation:

Given;

Shaquille O'Neal's height= 216cm = 216 × 1/100 m = 2.16m

Since, a nanometer (nm) is a unit of measurement that is one-billionth of a meter.

1 m = 1 billion nanometers

So,

2.16m = 2.16 billion nm = 2160000000 nm

Shaquille O'Neal's height= 2160000000 nm

= 2.16 × 10^9 nm

8 0
3 years ago
A fair coin is tossed three times in succession. The set of equally likely outcomes is StartSet HHH comma HHT comma HTH comma TH
liq [111]

The probability of getting exactly zero tails is 1/8.

Step-by-step explanation:

When a fair coin is tossed three time, the set of equally likely outcomes is:

S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}

n(S)=8

Let A be the event that there are exactly zero tails which means there are all heads

Then

A= {HHH}

n(A)=1

P(A)=\frac{n(A)}{n(S)}\\=\frac{1}{8}

The probability of getting exactly zero tails is 1/8.

Keywords: Probability, Equally likely events

Learn more about probability at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

5 0
2 years ago
WILL GIVE BRAINLIEST THANKS AND 5 STARS FOR CORRECT ANSWER Desmond ran a lemonade stand in front of his house for the fans walki
Fiesta28 [93]

Answer:

56

Step-by-step explanation:

First, convert the 70% so that we can use it with the 80 cups. To do this, convert the percent to a decimal by moving the decimal 2 spaces to the left:

70% → 70.00 → 0.70 → 0.7

70% percent can be seen as 0.7. Multiply this by 80:

80*0.7=56

So, 70% of 80 is 56. Desmond sold 56 cups on the second Saturday.

:Done

7 0
3 years ago
The chapter is 8pages long. kosta read 1/4 of the chapter aloud.then christina read three pages to the class. How many pages hav
pshichka [43]
Number of pages that the chapter has = 8
Number of pages of the chapter that Kosta read = (1/4) * 8
                                                                               = 1 * 2
                                                                               = 2
The number of pages of the chapter read by Christina = 3
Then
The total number of pages of the
chapter read by both of them = 2 + 3
                                                = 5
 So the total number of pages of the chapter that has been read by Kosta and Christina is 5. I hope the procedure is clear enough for you to understand.
8 0
3 years ago
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