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

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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
+115412
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hint: draw it and then it is easy to see the radius

then use the formula

Oct 18, 2021
#2
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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

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

!

Oct 18, 2021