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-Welp-

  • one year ago

"What is the equation of the circle with center (3,5) that passes through the point (-4,10)?" ^How do I solve this?

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  1. anonymous
    • one year ago
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    Use the distance formula first to find the radius.\[\huge d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\] After you found the radius, use the center and the radius to form the standard equation of a circle.

  2. Nnesha
    • one year ago
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    or you can use equation of the circle replace (h,k) for center points and x , y by the point they gave you solve for r

  3. jdoe0001
    • one year ago
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    |dw:1438730789405:dw|

  4. jdoe0001
    • one year ago
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    \(\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 5}})\quad % (c,d) &({\color{red}{ -4}}\quad ,&{\color{blue}{ 10}}) \end{array}\qquad % distance value d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)

  5. jdoe0001
    • one year ago
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    find the radius use the center (h,k) as Nnesha indicated on the previous posting and plug them in \(\bf (x-{\color{brown}{ h}})^2+(y-{\color{blue}{ k}})^2={\color{purple}{ r}}^2 \qquad center\ ({\color{brown}{ h}},{\color{blue}{ k}})\qquad radius={\color{purple}{ r}}\)

  6. zzr0ck3r
    • one year ago
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    @Nnesha solving for r in the standard equation gives the distance formula :)

  7. Nnesha
    • one year ago
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    \[\huge\rm (\color{blue}{x}-\color{reD}{h})^2+(\color{blue}{y}-\color{reD}{k})^2=r^2\] \[\color{blue}{(-4,10)}\] \[\color{reD}{(3,5)}\] plugin values solve for r

  8. Nnesha
    • one year ago
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    yeah same thing

  9. Nnesha
    • one year ago
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    Opps nvm

  10. -Welp-
    • one year ago
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    "plugin values solve for r " I tried it and got 24. That doesn't seem right.

  11. Nnesha
    • one year ago
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    wrong.

  12. -Welp-
    • one year ago
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    =(x-3)^2 + (y-5)^2=226?

  13. -Welp-
    • one year ago
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    halp

  14. anonymous
    • one year ago
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    The left hand side of your equation of the circle is correct. However, the right hand side (226) is incorrect. Did you use the distance formula above to find the radius?

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