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sergey [27]
3 years ago
8

The area of a square can be represented by the trinomial 9x^2 - 54x + 81. Which of the following is the length of one side of th

e square?
*free response question
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0

Use\ (a-b)^2=a^2-2ab+b^2\\\\9x^2-54x+81=\underbrace{(3x)^2-2(3x)(9)+9^2}_{(*)}=(3x+9)^2\\\\\text{The formula of an area of a square with a side x:}\ A=x^2.\\\\\text{Therefore we have answer:}\ The\ length\ of\ side\ of\ the\ square\ is\ 3x+9.

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andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

AR^2=SR\times RC

Rewriting the above equation, we get,

AR^2=SR(SR+SC)

Substituting the values, we get,

12^2=7.7(7.7+CS)

Simplifying, we have,

144=59.29+7.7CS

Subtracting both sides by 59.29, we get,

84.71=7.7CS

Dividing both sides by 7.7, we have,

11.0013=CS

Rounding off to the nearest tenth, we get,

11.0=CS

Thus, the length of CS is 11.0

6 0
3 years ago
The price of a pair of socks decreases from 15 dollars to 12 dollars what is the percent decrease
murzikaleks [220]

Answer:

20%

Step-by-step explanation:

12/15 = .8

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6 0
3 years ago
Please help me on this problem
tester [92]

Answer:

79.5 in ^3

Step-by-step explanation:

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80-.5 equals 79.5 in^3

3 0
3 years ago
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Answer:

3

Step-by-step explanation:

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8 0
2 years ago
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antoniya [11.8K]

Answer:

D. 2^3/2

Explanation:

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= ²√3³

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Hope this helped! :D

6 0
3 years ago
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