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Tems11 [23]
3 years ago
10

Then diameter for a circle is 12 m.

Mathematics
1 answer:
adell [148]3 years ago
4 0

Answer:

area of the circle = 113.04

Step-by-step explanation:

radius = 1/2 d

radius = 1/2 × 12

radius = 6 m

area of the circle = π r²

area of the circle = 3.14 × 6 × 6

area of the circle = 113.04

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Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.
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Answer:

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Step-by-step explanation:

Use formula

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Hence,

(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.

This expression is equal to

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so we can equate the coefficients at powers of x:

x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.

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