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Tpy6a [65]
3 years ago
8

What is the eqaution of a circle with center (2,-10) and radius 3​

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0
Answer:

x2+y2−4x+20y+4=0.

Explanation:

The eqn. of a circle with centre (h,k) and radius r is given by,
(x−h)2+(y−k)2=r2.
Accordingly, the reqd. eqn. is,
(x−2)2+(y+10)2=3^2, i.e.,
x2+y2−4x+20y+4=0.

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Answer:

2.

4x^2 + 4 - 5x + x - 2x^2 + 8

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3.

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4.

B is correct (4 and 3)

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3 years ago
If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in mile
Lubov Fominskaja [6]
\bf \textit{arc's length}\\\\
s=rw\qquad 
\begin{cases}
r=radius\\
w=\textit{angular speed}
\end{cases}\qquad w=\cfrac{50 rev}{min}\cdot \cfrac{2\pi }{rev}
\\\\\\
w=\cfrac{100\pi }{min}\qquad s=80in\cdot \cfrac{100\pi }{min}\implies s=\cfrac{8000\pi\  in}{min}\\\\
-------------------------------\\\\
\textit{now to convert it to miles/hr}
\\\\\\
\cfrac{8000\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mile}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{8000\pi \cdot 60\ in}{12\cdot 5280\ hr}
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3 years ago
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