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chubhunter [2.5K]
2 years ago
9

Find the center and radius of this circle x^2+y^2-6x-10y+30=0

Mathematics
1 answer:
Artist 52 [7]2 years ago
8 0

Answer:

Center: (3,5)

Radius: 2

Step-by-step explanation:

x² + y² - 6x - 10y + 30 = 0

Put equation into center-radius form. First regroup terms:

(x²-6x) + (y²-10y) = -30

Complete the squares:

(x²-6x+3²) + (y²-10y+5²) = -30 + 3² + 5²

(x-3)² + (y-5)² = 4 = 2²

Center: (3,5)

Radius: 2

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A radioactive substance decays at a continuous rate of 12% per year, and 90 mg of the substance is present in the year 2000. (a)
Alla [95]

Answer:

A(t) = 90e^0.12t ;

299 mg

Step-by-step explanation:

General Continous growth rate equation :

A = Pe^rt

A = amount present, t years after year of initial amount.

Here,

P = 90 mg, amount in year 2000

r = rate = 12% = 0.12

t = years after 2000

Therefore,

A is written as ;

A(t) = 90e^0.12t

Amount present in year 2010 ;

t = 2010 - 2000 = 10

A(10) = 90e^0.12(10)

A(10) = 90 * e^1.2

= 90 * 3.3201169

= 298.81052

= 299 mg

5 0
2 years ago
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Step-by-step explanation:

16+10+4

26+4

30

30÷(2+2)

30÷4

7 1/2

4 0
3 years ago
Help me out please !!!
IgorLugansk [536]

Answer:

5/1

Step-by-step explanation:

Cause I say so. Rise/run is rate of change.

6 0
3 years ago
Read 2 more answers
Can someone show step by step to get the answers please
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Answer:

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The answer is $78.03
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