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Naya [18.7K]
3 years ago
12

Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't rem

ember which coordinate pair is which. What could be an equation of the circle? Explain your answer.
Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

9514 1404 393

Answer:

  (x +3)² +(y -2)² = 185

  (x -10)² +(y +2)² = 185

Step-by-step explanation:

One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.

The radius can be found from the distance formula:

  r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185

The circle formula is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

The above equations and the ones shown in the attachment are possibilities.

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The night watchman in a factory cannot guard both the safe in back and the cash register in front. The safe contains $6000, whil
Zolol [24]

Answer:

The guard should be positioned at the safe

Step-by-step explanation:

The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.

The expected value of robbing the safe is:

EV_{s} = \$ 6000*0.2\\EV_{s} = \$ 1200

The expected value of robbing the cash register is:

EV_{r} = \$ 1000*0.8\\EV_{r} = \$ 800

Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.

7 0
3 years ago
You can buy an 8-pack of paper towels for $7.92 or a 12-pack for $11.64. Which is the better buy?
goldfiish [28.3K]

Answer:

ill say the 8 pack

Step-by-step explanation:

8 0
2 years ago
David inherited some money from his uncle. He invested half of the money with Bernie
ValentinkaMS [17]
Given:
Let x be the whole amount inherited.
1/2 * x - invested with Bernie Madoff
1/3 * x - lost due to identity theft
1/8 * x - lost in casino
40,000 - remainder

x - x/2 - x/3 - x/8 = 40,000

LCM: 
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24, 

   x * 24/24 = 24x / 24
x/2 * 12/12 = 12x / 24
x/3 *   8/8   = 8x / 24
x/8 *   3/3   = 3x / 24
40,000 * 24/24 = 960,000 / 24

24x/24 - 12x/24 - 8x/24 - 3x/24 = 960,000/24
(24x - 12x - 8x - 3x)/24 = 960,000/24
x/24 = 960,000/24
24 * x/24 = 24 * 960,000/24
x = 960,000

x = 960,000 initial inheritance
x/2 = 960,000/2 = 480,000 invested with Bernie Madoff
x/3 = 960,000/3 = 320,000 lost due to identity theft
x/8 = 960,000/8 = 120,000 lost in the casino
40,000 - remaining amount.

960k - 480k - 320k - 120k = 40k
40k = 40k
 
3 0
3 years ago
The equation p=100−4t represents the percent p of battery power remaining in an MP3 player after t hours.
fenix001 [56]

Answer:

Step-by-step explanation:

Here time (t) is the independent variable; power (p) is the dependent one.

The graph of p = 100 - 4t is a straight line with slope -4.  100 is the vertical intercept.  Battery power begins at 100 and steadily decreases after that.

6 0
3 years ago
GIVING BRAINLIEST! AND 20 POINTS!
katrin2010 [14]

Answer:

4.1

Step-by-step explanation:

Divide 1.2 and 2.3

8 0
3 years ago
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