The standard form for an ellipse whose major axis is parallel to the x axis is:\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1 Where a>b and the point (h,k) is the center of the e…

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The standard form for an ellipse whose major axis is parallel to the x axis is:\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1 Where a>b and the point (h,k) is the center of the ellipse.Write the equation below in standard form and then answer the following questions. If a value is a non-integer type your answer as a decimal rounded to the hundredths place. x^2-8x+25y^2-100y+91=0The center of the ellipse is (h,k). h= Answer and k= AnswerThe value for a is Answer . The value for b is Answer .The foci with the positive x value is the point ( Answer, Answer)The foci with the negative x value is the point ( Answer, Answer)

$The standard form for an ellipse whose major axis is parallel to the x axis is:\frac-example-1$

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Yahni · Answer 1 · 2023-05-29T17:59:00+0000

Solution

The standard form for the ellipse whose major axis

Write the equation in a standard form

$\begin{gathered} x^2-8x_+25y-100y+91=0 \\ x^2-8x+4^2+25y^2-100y=91 \\ (x-4)^2+25(y^2-4y)=91 \\ (x-4)^2+25(y-2)^2=91+16+25(4) \\ (x-4)^2+25(y-2)^2=116-91 \\ ((x-4)^2+25(y-2)^2=25)/(25) \\ ((x-4)^2)/(25)+((y-2)^2)/(1)=1 \end{gathered}$

(1) The centre of the ellipse is (h , k)