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Elanso [62]
4 years ago
9

Using inductive reasoning, what is the next two numbers in this set?

Mathematics
2 answers:
ZanzabumX [31]4 years ago
4 0

Answer:

25 and -31

Step-by-step explanation:

Notice that if all the negatives were positive, you would have the arithmetic sequence 1, 7, 13, 19, on and on, adding 6 every time. So basically we have a geometric and arithmetic sequence combined, with the geometric sequence making it positive, and negative, and the arithmetic sequence adding 6 every time. This means the answer(s) are 25 and -31.

lidiya [134]4 years ago
4 0

Answer: 25 and -31


Step-by-step explanation: Notice that if all the negatives were positive, you'd have the arithmetic sequence one, 7, 13, 19, on and on, adding vi each time. therefore essentially we have a geometrical and arithmetic sequence combined, with the geometric sequence creating it positive, and negative, and also the arithmetic sequence adding vi each time. this suggests the answer(s) are twenty-five and -31.


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3 years ago
Write the equation of the circle whose center is (-4,8) and has a diameter of 18
svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

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

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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