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2 years ago

Find the center and radius of this circle x^2+y^2-6x-10y+30=0

Mathematics

1 answer:

Artist 52 [7]2 years ago

8 0

Answer:

Center: (3,5)

Radius: 2

Step-by-step explanation:

x² + y² - 6x - 10y + 30 = 0

Put equation into center-radius form. First regroup terms:

(x²-6x) + (y²-10y) = -30

Complete the squares:

(x²-6x+3²) + (y²-10y+5²) = -30 + 3² + 5²

(x-3)² + (y-5)² = 4 = 2²

Center: (3,5)

Radius: 2

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Filipemarcosdesouza

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Answer:

noted, thanks for the note

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3 years ago

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The difference of n and 7 is no more than 12. Find all possible values of n.

WINSTONCH [101]

Answer:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29

7-12= -5

7+12= 29

-5 ≤ n ≤ 29 or -5 ≤ n < 30 or -6< n ≤ 29 or -6 < n < 30

either one is acceptable. question was not clear but i did my best! :)

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2 years ago

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soldi70 [24.7K]

First you want to reduce the brackets
Next you want to factor out the common number 3
Next you want to factor 20 + x^3 + 11x - 8x^2 by using the polynomial division method/technique
Lastly you just factor x^2 - 9x + 20 to get the answer.

Yes you are correct, the solutions are 1, 4, and 5.

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3 years ago

Two trains leave the station at the same, one heading west and the other east. The westbound train travels at 55 miles per hour.

Mars2501 [29]

The time that taken for the two trains is 1.2 hours.

The computation of the time taken for the two trains is shown below:

Given that

The westbound train travels 55 miles per hour.

And, the eastbound train travels 75 miles per hour.

So, the total speed is

= 55 miles per hour + 75 miles per hour

= 130 miles per hour

The distance is 156 miles

So, the time taken is

$= \frac{distance}{speed}\\\\= \frac{156\ miles}{130\ miles\ per\ hour}\\\\$

= 1.2 hours

Therefore we can conclude that the time that taken for the two trains is 1.2 hours.

Learn more about the speed here: brainly.com/question/21791162

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3 years ago

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What is the volume of a sphere with a diameter of 15 cm? Round the answer to the nearest whole number.

AveGali [126]

Answer:

1767 cm³

Step-by-step explanation:

We can use volume V = 4/3 π r³

We have diameter of 15 cm. To get radius, we need to divide diameter by 2.

r = 7.5 cm

So now plug in r = 7.5 then calculate V:

V = 4/3 π ( 7.5 )³

V = 4/3 π * 421.875 ≈ 1767.145 ≈ 1767

Hope this helps.

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3 years ago