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mote1985 [20]
2 years ago
10

The diameter of a circle has length 12. The center is at (-5,2) . Give the equation of the circle?

Mathematics
1 answer:
serg [7]2 years ago
6 0

9514 1404 393

Answer:

  (x +5)² +(y -2)² = 36

Step-by-step explanation:

The radius is half the diameter, so is 12/2 = 6.

The standard form equation for a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r

For the given parameters, the equation is ...

  (x +5)² +(y -2)² = 36

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The 8th term of the geometric sequence is 13122x^22

<h3>Explicit form of a geometric sequence</h3>

The explicit form of a geometric sequence is expressed according to the equation;

Tn = ar^n-1

where

r is the common ratio

a is the first term

n is the number of terms

Given the sequence below;

6x,18x^4,54x^7

r = 18x^4/6x

r = 3x^3

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Substitute to have:

T8 = 6x(3x^3)^8-1

T8 = 6x (3x^3)^7

T8 = 13122x^22

Hence the 8th term of the geometric sequence is 13122x^22

Learn more on geometric sequence here: brainly.com/question/24643676

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