In terms of pi, what is the area of the circle defined by the equation 2x^2+2y^2+10x-6y-18=0
and if you could please help me on this
What is the value of x if absolute value (x-1)=(x-2)? Express your answer as a common fraction.
+23252 Step 1) Place the equation into graphing form: 2x2 + 2y2 + 10x - 6y - 18 = 0
divide by 2: x2 + y2 + 5x - 3y - 9 = 0
rearrange: x2 + 5x + y2 - 3y = 9
complete the square: x2 + 5x + 25/4 + y2 - 3y + 9/4 = 9 + 25/4 + 9/4
simplify: (x + 5/2)2 + (y - 3/2)2 = 35/2
Step 2) Find the radius: sqrt(35/2)
Step 3) Find the area: Area = pi ·[ sqrt(35/2) ]2 = pi · 35/2
