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3 years ago

Find the standard equation of a circle that passes through the point (−1, 1) with center (2, 3).

Mathematics

1 answer:

Firlakuza [10]3 years ago

6 0

The equation of a circle is
(x-h)² + (y-k)² = r²
for center (h, k) and radius r. Of course, the radius can be computed by putting the point in the equation.
(x-2)² + (y-3)² = (-1-2)² + (1-3)² = 9+4 = 13

The standard equation of the circle is (x-2)² + (y-3)² = 13.

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Multiply / Divide Radical Expressions<br> i need help please.

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Answer:

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2 years ago

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professor190 [17]

Answer:

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Step-by-step explanation:

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Order the equations from least to greatest based on the number of solutions to each equation.

aleksandrvk [35]

In order it goes like this

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3 years ago

An animal reserve has 40,000 elk. The population increases 11% a year. How long tell the population is equal to 80,000. If someo

sukhopar [10]

Answer:

7 years (This answer is to the nearest year)

Step-by-step explanation:

The way you could work this out is by trial and error. 11 % a year means that its population increases by 4400 annually. 40,000 X 1.11^1 gives you the amount it would be after one year (44000). I got the 1.11 because of the percentage (0.11) plus the amount you need to do percentage increase (1). Then all you do is keep on going up till you hit the number you need (80,000) after about 7 years the total would have hit 80,000 and would have actually went past it (83046)

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2 years ago

The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probab

Drupady [299]

Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{x - a}{b - a}$

In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.

The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:

$P(X < 4.5) = \frac{4.5 - 0}{15 - 0} = 0.3$

More can be learned about the uniform distribution at brainly.com/question/13889040

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1 year ago