Question

Some steps are shown in converting the following conic inequality from general form to standard form. Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set. 9x2 – 18x + 4y2 + 16y – 11 > 0 9x2 – 18x + 4y2 + 16y > 11 9(x2 – 2x) + 4(y2 + 4y) > 11 9(x2 – 2x + 1) + 4(y2 + 4y + 4) > 11 + 9 + 16

Answer 1

Answer:

Thank  you sir

Step-by-step explanation:

ellipse with dashed line boundary

(1,-2)

(-2,0)

Answer 2

The conversion of the equation of the conic section from general form to standard form will be (x – 1)²/4 + (y + 2)²/9 > 1. This is the equation of an ellipse.

What is a conic section?

The shape which is derived from the cone is known as a conic section.

Some steps are shown in converting the following conic inequality from general form to standard form.

Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set.

The equation is given below.

    9x² – 18x + 4y² + 16y – 11 > 0

           9x² – 18x + 4y² + 16y > 11

          9(x² – 2x) + 4(y² + 4y) > 11

9(x² – 2x + 1) + 4(y² + 4y + 4) > 11 + 9 + 16

               9(x – 1)² + 4(y + 2)² > 36

             (x – 1)²/4 + (y + 2)²/9 > 1

This is the equation of an ellipse.

More about the conic section link is given below.

https://brainly.com/question/10311514

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