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siniylev [52]
2 years ago
6

What is the center of a circle whose equation is x2 y2 – 12x – 2y 12 = 0? (–12, –2) (–6, –1) (6, 1) (12, 2)

Mathematics
1 answer:
lora16 [44]2 years ago
8 0

The center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

<h3>Equation of a circle</h3>

The standard equation of a circle is expressed as:

x^2 + y^2 + 2gx + 2fy + c = 0

where:

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

Given the equations

x^2 +y^2 – 12x – 2y  +12 = 0

Compare

2gx = -12x

g = -6

Simiarly

-2y = 2fy

f = -1

Centre = (6, 1)

Hence the  center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

Learn more on equation of a circle here: brainly.com/question/1506955

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-- The area of the long skinny piece on top is (6 x 33) = 198

-- The length of the dotted line between the top and bottom pieces is (33-21) = 12

-- The area of the bottom  piece is (12 x 15) = 180

-- The area of the whole thing is (198 + 180) = 378

-- The perimeter of the whole thing is (33 + 6 + 21 + 15 + 12 + 15 + 6) = 108
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3 years ago
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Apples cost $3.45 per pound find the cost of 2.6 pounds of apples Solve this problem With multiplication​
lapo4ka [179]

Answer:

8.97

Step-by-step explanation:

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7 0
3 years ago
PLEASE HELP. I need DE AND EF!!!
AlekseyPX

Answer:

DE = about 41.843 (rounded to nearest thousandth)

EF= 34.276 (rounded)

Step-by-step explanation:

For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°.  We can use trigonometry to figure this out.  SinФ equals the opposite side (in this case, 24) divided by the hypotenuse.  Set sinФ equal to a ratio of the sides like this:

sin(35) = \frac{24}{x}

x represents the hypotenuse length, which we don't know; 35 is the angle measure.  Next, isolate x so that the equation looks like this:

\frac{24}{sin(35)} = x

You will need a calculator for the next part.  (and make sure you're in degree mode!).  evaluate sin(35) and divide 24 by that value.  That is DE's length.  DE = about 41.843 (rounded to nearest thousandth)

For EF, we can just use Pythagorean theorem now that we know the other sides' values.

EF^2 + 24^2 = DE^2

*a calculator might also be useful for this part.

EF= 34.276 (rounded)

8 0
2 years ago
18=3[x-1] step by step
Aleksandr-060686 [28]
18=3(x-1)
18=3x-3
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15=3x
15/3=x
x=5

7 0
3 years ago
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