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Firdavs [7]
3 years ago
8

Determine the center and radius of the following circle equation: x2 + y2 – 16x + 10y + 80 = 0?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0

Answer:

centre is (8, -5)

r =  \sqrt{ {g}^{2} +  {f}^{2}  - c }  \\  =  \sqrt{64 + 25 - 80}  \\  =  \sqrt{9}  \\ r = 3 \\ radius \:  =  \: 3 \: units

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What is the solution of the inequality x^3+3x^2&gt;7x+6
sveta [45]

Answer:

<u><em>x>2</em></u>

Step-by-step explanation:

<u><em>x3+3x2=7x+6</em></u>

<u><em>x3+3x2−(7x+6)=7x+6−(7x+6)</em></u>

<u><em>x3+3x2−7x−6=0</em></u>

<u><em>(x−2)(x2+5x+3)=0</em></u>

<u><em>x−2=0 or x2+5x+3=0</em></u>

<u><em>x=2 or x=−0.6972243622680054 or x=−4.302775637731995</em></u>

<u><em>x<−4.302776</em></u>

<u><em>−4.302776<x<−0.697224</em></u>

<u><em>−0.697224<x<2</em></u>

<u><em>x>2(Works in original inequality)</em></u>

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