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2 years ago

7.) Find the center and radius of a circle with the equation (x − 4)² + (y − 2)² = 100.

Mathematics

1 answer:

nikitadnepr [17]2 years ago

5 0

Answer:

Centre is (4,2) and radius is 10

Step-by-step explanation:

The circle equation is of form,

=> (x - a)² + (y - b)² = r²

where the centre is (a,b) and radius is 'r'.

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Find four geometric means between 25 and 800.

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Actually, you have to find four missed terms of geometrical sequence. Denote

$a_1=25,\\ a_6=800$

and r - ratio, then

$a_2=a_1\cdot r=25r,\\a_3=a_1\cdot r^2=25r^2,\\a_4=a_1\cdot r^3=25r^3,\\a_5=a_1\cdot r^4=25r^4,\\a_6=a_1\cdot r^5=25r^5$ .

Since $a_6=800$ , you have that $800=25r^5$ , then

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Now substitude r=2 in each of unknown 4 terms:

$a_2=25\cdot 2=50,\\a_3=25\cdot 2^2=100,\\a_4=25\cdot 2^3=200,\\a_5=25\cdot 2^4=400$ .

Answer: four geometric means between 25 and 800 are 50, 100, 200, 400.

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3 years ago

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2 years ago

With respect to the diagram, which relationship is false if ∠FEA is supplementary to ∠HGD? m∠FEB + m∠HGD = 180° ∠HGD≅∠FEB m∠HGC

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