What is the center of the ellipse $$\frac{(x-4)^2}{1}+\frac{(y+9)^2}{9}=1$$ ?


<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>What is the center of the ellipse $$\frac{(x-4)^2}{1}+\frac{(y+9)^2}{9}=1$$ ?
</textarea>What is the center of the ellipse <math><semantics><mrow><mfrac><mrow><mo>(</mo><mi>x</mi><mo>−</mo><mn>4</mn><msup><mo>)</mo><mn>2</mn></msup></mrow><mrow><mn>1</mn></mrow></mfrac><mo>+</mo><mfrac><mrow><mo>(</mo><mi>y</mi><mo>+</mo><mn>9</mn><msup><mo>)</mo><mn>2</mn></msup></mrow><mrow><mn>9</mn></mrow></mfrac><mo>=</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">\frac{(x-4)^2}{1}+\frac{(y+9)^2}{9}=1</annotation></semantics></math>​1​​(x−4)​2​​​​+​9​​(y+9)​2​​​​=1 ?
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>In the given ellipse, $$\frac{(x-4)^{2}}{1}+\frac{(y+9)^{2}}{9}=1$$ 
Comparing with $$(\frac{x-h}{b})^{2}+(\frac{y-k}{a})^{2}=1$$

Centre $$(4,-9)$$


</textarea>In the given ellipse, <math><semantics><mrow><mfrac><mrow><mo>(</mo><mi>x</mi><mo>−</mo><mn>4</mn><msup><mo>)</mo><mrow><mn>2</mn></mrow></msup></mrow><mrow><mn>1</mn></mrow></mfrac><mo>+</mo><mfrac><mrow><mo>(</mo><mi>y</mi><mo>+</mo><mn>9</mn><msup><mo>)</mo><mrow><mn>2</mn></mrow></msup></mrow><mrow><mn>9</mn></mrow></mfrac><mo>=</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">\frac{(x-4)^{2}}{1}+\frac{(y+9)^{2}}{9}=1</annotation></semantics></math>​1​​(x−4)​2​​​​+​9​​(y+9)​2​​​​=1 Comparing with <math><semantics><mrow><mo>(</mo><mfrac><mrow><mi>x</mi><mo>−</mo><mi>h</mi></mrow><mrow><mi>b</mi></mrow></mfrac><msup><mo>)</mo><mrow><mn>2</mn></mrow></msup><mo>+</mo><mo>(</mo><mfrac><mrow><mi>y</mi><mo>−</mo><mi>k</mi></mrow><mrow><mi>a</mi></mrow></mfrac><msup><mo>)</mo><mrow><mn>2</mn></mrow></msup><mo>=</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">(\frac{x-h}{b})^{2}+(\frac{y-k}{a})^{2}=1</annotation></semantics></math>(​b​​x−h​​)​2​​+(​a​​y−k​​)​2​​=1
Centre <math><semantics><mrow><mo>(</mo><mn>4</mn><mo separator="true">,</mo><mo>−</mo><mn>9</mn><mo>)</mo></mrow><annotation encoding="application/x-tex">(4,-9)</annotation></semantics></math>(4,−9)
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