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Assoli18 [71]
3 years ago
14

What are the center and the radius of the circle whose equation is (x-5)^2+(y+3)^2=16

Mathematics
2 answers:
Sindrei [870]3 years ago
5 0

CENTER : ( 5, -3)

RADIUS : 4

Setler [38]3 years ago
4 0

Answer:

Center (5,-3)

radius : 4

Step-by-step explanation:

Radius: is the square root of 16. The square root of 16 = +/- 4.  Minus 4 has absolutely no meaning for a question like this so the radius is 4. Rule take the square root of the counting number on the right.

The center is the value when x - 5 =0 and y + 3 = 0

x - 5 = 0

x = 5

y + 3 = 0

y = -3

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A rectangular auditorium seats 1564 people. the number of seats in each row exceeds the number of rows by 1212. find the number
yanalaym [24]
<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12. Let r = # of rows and s = # of seats in a row. Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows. Then r x (r + 12) = 1564 or r**2 + 12*r - 1564 = 0, which is a quadratic equation. The general solution of a quadratic equation is: x = (-b +or- square-root( b**2 - 4ac))/2a In our case, a = 1, b = +12 and c = -1564, so x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1 = (-12 +or- square-root( 144 + 6256 ) ) / 2 = (-12 +or- square-root( 6400 ) ) / 2 = (-12 +or- 80) / 2 = 34 or - 46 We ignore -46 since negative rows are not possible, and have: rows = 34 and seats per row = 34 + 12 = 46 as a check 34 x 46 = 1564 = total seats</span>
4 0
3 years ago
as Saturn revolves around the sun, it travels at a speed of approximately 6 miles per second. convert this speed to miles per mi
3241004551 [841]

Given:

Speed = 6 miles per second

If the Saturn revolves 6 miles in 1 second then the speed is:

\begin{gathered} In\text{ 1 second distance is 6 miles} \\ So\text{ in 60 second distance is =6}\times60\text{ miles} \\ =360 \end{gathered}

So speed in minutes is 360 miles per min.

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3 0
1 year ago
Round to the nearest hundredth
Charra [1.4K]
Hey there,
1st hat = x
2nd hat = 2x
3x = $75.12
x= $75.12 / 3
  = $25.04
2x = $25.04 x 2
     =$50.08
     = $50.10 (round off)

Hope this helps ^_^

~Top
7 0
3 years ago
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Murrr4er [49]

Answer:

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