3 years ago

Is 3.03003000300003... a repeating decimal

1 answer:

8 0

The answer is no because after each 3 there is one more zero added

to be repeating the number of zeros would have to stay the same

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The points J (-13,10) and K(-1,-6) are endpoints of a diameter of circle G. What is the equation of circle G?

In-s [12.5K]

The correct answer is D

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.

To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y

-13 + -1 = -14
-14/2 =-7

10+ -6 = 4
4/2 = 2

therefore (h,k) = ( -7, 2 )

Next plug these values in the equation of a circle

(x-h)^2 + (y-k)^2 = r^2

becomes

(x- (-7)) ^2 + (y-(2)) ^2 = r^2

to find r, use the distance formula to find the length of the diameter, 20, and divide by 2

plug 10 in for r and you get 100

(x+7)^2 + (y-2)^2 = 100

sorry for the late response

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