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Find the standard form of the equation for the circle with the following properties.

 

Center (−4,−3/2) and tangent to the x-axis

 Oct 18, 2021
 #1
avatar+118687 
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hint: draw it and then it is easy to see the radius

then use the formula

 Oct 18, 2021
 #2
avatar+15000 
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Find the standard form of the equation for the circle with the following properties. Center (−4,−3/2) and tangent to the x-axis

 

Hello macabtesubwoofer!

 

\(P_c(-4,-1.5)\)

 

\(f(x) =\pm \sqrt{{\color{blue}1,5}^2-(x-{\color{blue}4})^2}-\color{blue}1,5\\ (y+1.5)^2=1.5^2-(x-4)^2 \)

The standard form of the equation for the circle is

\((x-4)^2+(y+1.5)^2=1.5^2\)

laugh  !

 Oct 18, 2021

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