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sleet_krkn [62]
3 years ago
13

What is the standard equation of the circle in the diagram? ^

Mathematics
1 answer:
den301095 [7]3 years ago
5 0

Answer:

(x - 3)^{2} + (y + 4)^{2}  = 4

Step-by-step explanation:

Center is at (3, -4)  and the radius is 2

(x - 3)^{2} + (y + 4)^{2}  = 4

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(4 x 5)2 - 6 + 3 =<br> (Hint: it’s not 37)
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in a AP the first term is 8,nth term is 33 and sum to first n terms is 123.Find n and common difference​
allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

\begin{cases}a_1=8\\a_k=a_{k-1}+d&\text{for }k>1\end{cases}

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a_k=a_{k-1}+d=a_{k-2}+2d=\cdots=a_1+(k-1)d

a_n=a_1+(n-1)d

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21=(n-1)d

n has to be an integer, which means there are 4 possible cases.

Case 1: n-1=1 and d=21. But

\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123

Case 2: n-1=21 and d=1. But

\displaystyle\sum_{k=1}^{22}(8+1(k-1))=407\neq123

Case 3: n-1=3 and d=7. But

\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123

Case 4: n-1=7 and d=3. But

\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123

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3 years ago
Tikiro places a wrench on a nut and applies a downward force of 32 pounds to tighten the nut. If the center of the nut is at the
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