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-BARSIC- [3]
3 years ago
12

What is the center or a circle represented by the equation (x+9)2 + (y-6)2 = 10 to the power of 2

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0

Answer:

(-9,6)

Step-by-step explanation:

The general equation of a circle is given as:

x²+y²+2gx+2fy+c = 0

The centre of the circle is (-g,-f)

Given the equation of the circle

(x+9)² + (y-6)² = 10²

First we need to expand and write it in the general form. On expansion:

x²+18x+81+y²-12y+36 = 100

Collecting like terms

x²+y²+18x-12y+81+36-100 = 0

x²+y²+18x-12y+17 = 0

Comparing to the general equation

2gx = 18x

g = 9

2fy = -12

f = -6

The center of the circle = (-g, -f)

= (-9,-(-6))

= (-9, 6)

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At this weekend’s soccer game, 20 out of the first 50 people who entered the field were not wearing hats. If this sample is repr
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Step-by-step explanation:

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2 years ago
A hamster runs at 17 centimeters per second in a wheel of radius 15 centimeters how fast will the wheel spin in revolutions per
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Answer:

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Step-by-step explanation:

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2 years ago
A lawyer charges for her services based on the number of hours worked. The expression gives the total cost for h hours is 200h+2
zhannawk [14.2K]
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3 hours --> (200)(3)+250 = 850
10 hours --> (200)(10)+250 = 2250

As you can see the 250 is fixed. It gets added to the cost no matter how many hours the lawyer works. This is most likely a flat fee. Just to meet the lawyer you pay $250.

The 200 gets multiplied by the hours worked. So the 200 is an hourly rate. The more hours the lawyer works, the more he gets paid because this part of the expression depends on the hours worked.

Thus, an interpretation of the expression 200h + 250 is that the lawyer charges a fee of $250 per consultation and an additional $200 per hour on top of that.
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3 years ago
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