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d1i1m1o1n [39]
2 years ago
11

Find the value of x. Area of circle = 25(pi) radius = x + 3

Mathematics
1 answer:
horsena [70]2 years ago
6 0

\\\text{Given that, radius, r =x+3}\\\\\text{Area of circle} = 25 \pi\\\\\implies \pi r^2 = 25 \pi\\\\\implies r^2 = 25\\\\\implies r = \sqrt{25} =5\\\\\implies x+3 = 5\\\\\implies x = 5-3 =2

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Answer:

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Step-by-step explanation:

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If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

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Now put a in (1) we get

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We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

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Step-by-step explanation:

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