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bogdanovich [222]
2 years ago
13

The circle has a circumference of 9.42 units. What is the area of the square ? Use 3.14 for pi. Explain how you got your answer

Mathematics
1 answer:
Elan Coil [88]2 years ago
3 0
So 9.42 is the circumference 9.42/3.14 is 3 and 3 is your diameter 1.5 is your radius and area is radius times radius then times pi so 1.5 x 1.5 = 2.25
2.25 x 3.14= 7.06500 so I believe your answer is about 7 units
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Answer:

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<em>8(x2 + 2x + 1) = –3 + 8 </em>

<em>x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot</em>

Step-by-step explanation:

<u>Solving Quadratic Equations </u>

Sometimes it's preferred to solve quadratic equations without the use of the known quadratic formula solver. One of the most-used methods consists of completing squares and solving for x.

We have the equation

\displaystyle 8x^2+16x+3=0

We separate variables from constants

\displaystyle 8x^2+16x=-3

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\displaystyle 8(x^2+2x)=-3

Completing squares in the brackets and balancing the equation in the right side

\displaystyle 8(x^2+2x+1)=-3+8

Factoring the perfect square

\displaystyle 8(x+1)^2=5

Isolating x

\displaystyle (x+1)^2=\frac{5}{8}

\displaystyle (x+1)=\pm \sqrt{\frac{5}{8}}

\displaystyle x=-1\pm \sqrt{\frac{5}{8}}

We can clearly see the steps used to solve the quadratic equation are (in order and written like in the question)

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

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