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3 years ago

17.The diameter of a circle has endpoints P(–7, –10) and Q(3, 2).

Mathematics

1 answer:

ser-zykov [4K]3 years ago

7 0

A.) (-2,-4)
(7+3)/2=5, (10+2)/2=6
(-7+5,-10+6)
(-2,-4)
b.)r^2=244
10^2+12^2=244
r=2(61)^(1/2)
c.)(x+2)^2+(y+4)^2=244

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Explanation:

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2 years ago

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2 years ago

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Answer:

a) $a_n=5\,\,(2)^{n-1}$

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c) $c_n=160\,\,(-\frac{1}{2} )^{n-1}$

Step-by-step explanation:

a) Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:

$a_n=5\,\,(2)^{n-1}$

The first five terms are: $a_1=5;\,\,\,a_2=10;\,\,\,a_3=20; \,\,\,a_4=40;\,\,\,a_5=80$

b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:

$b_n=100\,\,(\frac{1}{2} )^{n-1}$

The first five terms are: $a_1=100;\,\,\,a_2=50;\,\,\,a_3=25; \,\,\,a_4=12.5;\,\,\,a_5=6.25$

c) Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:

$c_n=160\,\,(-\frac{1}{2} )^{n-1}$

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