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kozerog [31]
3 years ago
10

Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = \sqrt{16} = 4

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The mass of the moon is 7.36*10^25 grams to the nearest tenth how many moons would it take to equal the mass of earth
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Nearly 81 moons will be required to equate the mass of moon to the mass of earth.

Step-by-step explanation:

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As mass of the Earth is given as 5.972 * 10^24 kg and mass of the moon is given as 7.36 * 10^22 kg, then the number of moons required to make it equal to the mass of earth can be calculated by taking the ratio of mass of earth to moon.

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2 years ago
a repairman purchased several furnace-blower motors for a total cost of $280 of his cost per motor has been $5 less, he could ha
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Answer:

<h2>0.35</h2><h2>Step-by-step explanation:</h2>

350 divided by 10 to the 3rd power

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