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11111nata11111 [884]
3 years ago
11

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres

ented by a perfect square model
x2 – 6x + 9

x2 – 2x + 4

x2 + 5x + 10

x2 + 4x + 16
Mathematics
2 answers:
olchik [2.2K]3 years ago
5 0
From the given options, x^2 - 6x + 9 = (x - 3)^2 is a perfect square.
nikdorinn [45]3 years ago
5 0

Answer:

  Option A is the correct answer

Step-by-step explanation:

For a perfect square quadratic equation discriminant b²-4ac is zero.

<u>Option A</u>

    x²-6x+9, a = 1 , b = -6 and c = 9

    b²-4ac = 36 - 4 x 1 x 9 = 0

    Correct answer.

<u>Option B</u>

    x²-2x+4, a = 1 , b = -2 and c = 4

    b²-4ac = 4 - 4 x 1 x 4 = -12

    Wrong answer.

<u>Option C</u>

    x²+5x+10, a = 1 , b = 5 and c = 10

    b²-4ac = 25 - 4 x 1 x 10 = -15

    Wrong answer.

<u>Option D</u>

    x²+4x+16, a = 1 , b = 4 and c = 16

    b²-4ac = 16 - 4 x 1 x 16 = -48

    Wrong answer.

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When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected
jasenka [17]

Answer:

A. Initially, there were 12 deer.

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

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D. The deer population incresed by 30 specimens.

Step-by-step explanation:

N=\frac{12.36}{0.03+0.55^t}

The amount of deer that were initally in the reserve corresponds to the value of N when t=0

N=\frac{12.36}{0.33+0.55^0}

N=\frac{12.36}{0.03+1} =\frac{12.36}{1.03} = 12

A. Initially, there were 12 deer.

B. N(10)=\frac{12.36}{0.03 + 0.55^t} =\frac{12.36}{0.03 + 0.0025}=\frac{12.36}{y}=380

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

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C. After 15 years, there will be 410 deer.

D. The variation on the amount of deer from the 10th year to the 15th year is given by the next expression:

ΔN=N(15)-N(10)

ΔN=410 deer - 380 deer

ΔN= 30 deer.

D. The deer population incresed by 30 specimens.

8 0
3 years ago
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