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

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

Step-by-step explanation:

Step 1:  Add 43 to both sides

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

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

Step 2:  Pull out the y from y^2 - 2y

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

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

 x^2 + y(y - 2) = 43

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:

x²+(y-1)²=6.63²

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

a rotation about point l

step-by-step explanation:

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