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dimaraw [331]
3 years ago
13

Can concentric circles ever be congruent circles?

Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0

Answer: No

Step-by-step explanation:

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What is the factored form of the expression?<br><br> d^2 = 36d + 324
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Answer:

(x-43.45)(x+7.45)=0.

Step-by-step explanation:

We have the quadratic equation d^{2}=36d+324 i.e. d^{2}-36d-324=0

Now, the roots of the quadratic equation ax^{2}+bx+c=0 are given by x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

So, from the given equation, we have,

a = 1, b =-36 , c = -324.

Substituting the values in x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}, we get,

x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}

i.e. x=\frac{36\pm \sqrt{1296+1296}}{2}

i.e. x=\frac{36\pm \sqrt{2592}}{2}

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i.e. x=\frac{36+50.9}{2}  and i.e. x=\frac{36-50.9}{2}

i.e. x=\frac{86.9}{2}  and i.e. x=\frac{-14.9}{2}

i.e. x = 43.45 and x = -7.45

Hence, the factored form of the given expression will be (x-43.45)(x+7.45)=0.

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