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Alex777 [14]
3 years ago
6

Find the center of the circle with the equation x2 + y2 – 6x – 4y+12 = 0.With solution.​

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0
#x^2 - 6x +y^2 - 4y = 12

Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.
#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y -2)^2 = 25

Circle centered at (3,2) with radius = 5
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1 year ago
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7 0
3 years ago
Which number is prime?<br> 63 <br> 51 <br> 61 <br> 57
kondor19780726 [428]
Hey there!

No numbers go into a prime number other than one and that number. 9 and 7 go into 63, so it’s not 63. 3 and 17 go into 51, so it’s not 51. 19 and 3 go into 57, so it’s not 57. That leaves 61. Nothing goes into this other than one and 61, so the answer is 61.

I hope this helps!
7 0
3 years ago
You will begin with a relatively standard calculation. consider a concave spherical mirror with a radius of curvature equal to 6
vodomira [7]
We are given a concave spherical mirror with the following dimensions:

Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm

First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation: 

Assume f = 10 cm

1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i

d i = 15 cm

Then, calculate for h i:

h i / h o = - d i / d o

h i / 6 = - 15 / 30

h i = - 3 cm

Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted". 
6 0
3 years ago
the average of three numbers is x if the first number is y and the second number is z what is the third number
alex41 [277]
The third number will be 3x - y - z
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3 years ago
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