The general equation given is x^2 - 4x + y^2 = -3. Transform this to an equation of a circle of the form x^2 + y^2 = r^2.
Use completing the square method:
x^2 - 4x + 4 + y^2 = -3 + 4
(x - 2)^2 + y^2 = 1
the center of the circle is (2,0) and r = 1
To check if it intersects the y axis, find the value of the x-intercept.
The answer is C. 1
You can just plug in the different answers for x and see which one equals zero.
F(1) = 1 + 4 + 1 - 6 = 0
Answer:
See below
Step-by-step explanation:
r/6 <-6 multiply both sides by 6 to get
<u>r < - 36 </u>
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<u> or</u> 4r+2 > 18 subtract 2 from both sides of the equation
4r > 16 divide both sides by 4
<u> r > 4 </u>
