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allochka39001 [22]
4 years ago
7

Write the equation in standard form for the circle x2+y2–2y–43=0.

Mathematics
2 answers:
Gnoma [55]4 years ago
8 0

The general equation of a circle is:

(x-a)²+(y-b)²=r², where a and b are the coordinates of the center, and r is the radius.

Now: x²+y²-2y-43=0

x²+y²-2y+1-44=0

Sqrt(44)=6.63, so we get:

Answer: x²+(y-1)²=6.63²

Kruka [31]4 years ago
6 0

Answer:

x^2 + y(y - 2) = 43

Step-by-step explanation:

<u>Step 1:  Add 43 to both sides</u>

x^2 + y^2 - 2y - 43 + 43 = 0 + 43

x^2 + y^2 - 2y = 43

<u>Step 2:  Pull out the y from y^2 - 2y</u>

x^2 + y^2 - 2y = 43

x^2 + y(y - 2) = 43

Answer:  x^2 + y(y - 2) = 43

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