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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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How do you solve this ?
saveliy_v [14]

When given a value of the variable, we replace each instance of the variable in the problem with that number. In this case, the expression becomes:


\frac{3^2 + 3}{3 - 1}


After this, we merely need to simplify the answer.


\frac{9 + 3}{3 - 1}


\frac{12}{2}


Simplifying 12/2 gives us the answer 6.

5 0
3 years ago
Letter b on number 11 is all I need help with. Thank you
Simora [160]

distance = 500 feet

Since Δ VWX and Δ YZX are similar then the ratios of corresponding sides are equal, that is

\frac{VW}{YZ} = \frac{VX}{YX} = \frac{WX}{ZX}

completing the required values gives

\frac{100}{l} = \frac{60}{30} ( cross- multiply )

60l = 30 × 100 = 3000 ( divide both sides by 60 )

l = 500

distance across the swamp is 500 feet



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3 years ago
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ss7ja [257]
I'm pretty sure it is b 75
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3 years ago
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Question 9 options: Review the function graph below.
elixir [45]

Answer:

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2 years ago
7+a+8+a= pls help pls help
Alina [70]

Answer:

15+2a

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7+a+8+a=15+2a

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