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Contact [7]
3 years ago
5

The equation of a circle is given below. (x − 5) 2 + ( y + 2 ) 2 = 81 4 (x−5) 2 +(y+2) 2 = 4/81 What is its center? Radius?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written in the form

(x-h) ^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x − 5)^2 + ( y + 2 )^2 = 81/4

(x − 5)^2 + ( y - -2 )^2 = (9/2)^2

The center is (5, -2) and the radius is 9/2

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3 years ago
What is the range of this piecewise function
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Answer as a compound inequality: -4 \le y < 2

Answer in interval notation:  [-4, 2)

=============================================

Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have y \ge -4 which is the same as -4 \le y

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that y < 2

Combine -4 \le y and y < 2 to get the compound inequality -4 \le y < 2

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To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

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3 years ago
A veterinarian estimated the weight of a puppy to be 7 kg. The actual weight of the puppy was 6.6 kg.
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9514 1404 393

Answer:

  • absolute error: 0.4 kg
  • relative error: 6.1%

Step-by-step explanation:

The absolute error is the difference between the estimate and the actual weight:

  7.0 kg -6.6 kg = 0.4 kg . . . . absolute error

__

The relative error is the ratio of the absolute error to the actual weight:

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6 0
3 years ago
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